LIST OF PUBLICATIONS
Ilya M. Spitkovsky

Refereed research papers

  1. The reconstruction of a unitary operator from two of its diagonal blocks, Mat. Issled. 8 (1973), no. 4 (30), 187-193. MR 50 # 2997.
  2. Stability of partial indices of the Riemann boundary value problem with a strictly nondegenerate matrix, Dokl. Akad. Nauk SSSR 218 (1974), 46-49. MR 52 # 767. (English translation in Soviet Math. Dokl. 15 (1974), no. 5, 1267-1271).
  3. The Riemann boundary value problem with a Hermitian matrix, Dokl. Akad. Nauk SSSR 221 (1975), no. 6, 1280-1283. (with A.M.Nikolaichuk). MR 53 # 8444. (English translation in Soviet Math. Dokl. 16 (1975), no. 2, 533-536).
  4. Factorization of Hermitian matrix-valued functions, and its applications to boundary value problems, Ukrain. Mat. Zh. 27 (1975), no. 6, 767-779 (with A.M.Nikolaichuk). MR 53 # 13591. (English translation in Ukrainian Math. J. 30 (1975)).
  5. The problem of the factorization of measurable matrix-valued functions, Dokl. Akad. Nauk SSSR 227 (1976), no. 3, 576-579. MR 54 # 1007. (English translation in Soviet. Math. Dokl. 17 (1976), no. 2, 481-485).
  6. The partial indices of continuous matrix-valued functions, Dokl. Akad.Nauk SSSR 229 (1976), no. 5, 1059-1062. MR 55 # 13278. (English translation in Soviet Math. Dokl. 17 (1976), no. 4, 1155-1159).
  7. The multipliers that do not influence factorizability, Dokl. Akad. Nauk SSSR 231 (1976), no. 6, 1300-1303. MR 5 # 6232. (English translation in Soviet Math. Dokl. 17 (1976), no. 6, 1733-1738).
  8. The factorization of matrix-valued functions on the unit circle, Dokl. Akad. Nauk SSSR 234 (1977), no. 2, 287-290 (with M.G.Krein). MR 56 # 1118. (English translation in Soviet Math. Dokl. 18 (1977), no. 3, 641-645).
  9. The factorization of matrix valued functions whose Hausdorff set lies inside an angle, Soobshch. Akad Nauk Gruzin. SSR 86 (1977), no. 3, 561-564. MR 57 # 6456.
  10. Factorization of alpha-sectorial matrix valued functions on the unit circle, Operators in Banach spaces. Mat. Issled. 47 (1978), 41-63 (with M.G.Krein). MR 81d:47017.
  11. The block structure of J-unitary operators, Teor. Funktsii, Funktsional. Anal. i Prilozhen. 30 (1978), 129-138. MR 80a:47056.
  12. On the factorability of measurable matrix-valued functions, Dokl. Akad. Nauk SSSR 240 (1978), no. 3, 541-544. MR 58 # 12489. (English translation in Soviet Math. Dokl. 19 (1978), no. 3, 647-651).
  13. On the theory of the generalized Riemann boundary value problem in the classes L_p, Ukrain. Mat. Zh. 31 (1979), no. 1, 63-73. MR 81e:30053. (English translation in Ukrainian Math. J. 31 (1979), 47-57).
  14. The block structure of J-unitary operators. II, Teor. Funktsii, Funktsional. Anal. i Prilozhen. 31 (1979), 150-157. MR 80h:47046.
  15. On the problem of forming of water resources economical estimate, in: Economics of the World Ocean (1979), Kiev, Economical Institute, Ukrainian Academy of Sciences (with G.S.Litvinchuk, A.N.Bukreev).
  16. Multipliers that do not effect factorizability, Mat. Zametki, 27 (1980), no. 2, 291-299. MR 82g:42008. (English translation in Math. Notes 27 (1980), 145-149).
  17. Sharp estimates of the defect numbers of a generalized Riemann boundary value problem and some problems on approximation by rational functions with partially fixed poles, Uspehi Mat. Nauk 36 (1981), no. 4 (with G.S.Litvinchuk).
  18. Some estimates for partial indices of measurable matrix-valued functions, Mat. Sb. 111 (153) (1980), no. 2, 227-248. MR 81k:45004. (English translation in Math. USSR Sbornik 39 (1981), no. 2, 207-226).
  19. Block operators and related questions of the theory of factorization of matrix-valued functions, Dokl. Akad. Nauk SSSR 254 (1980), no. 4, 816-820. MR 81k:47024. (English translation in Soviet Math. Dokl. 22 (1980), no. 2, 471-475).
  20. Exact estimates of defect numbers of the generalized Riemann boundary value problem, Dokl. Akad. Nauk SSSR 255 (1980), no. 5, 1042-1046 (with G.S.Litvinchuk). MR 82b:30057. (English translation in Soviet Math. Dokl. 22 (1980), no. 3, 781-785).
  21. Factorization of measurable matrix-valued functions and related problems in the theory of systems of singular integral equations and the vector Riemann boundary value problem. I, Differentsial'nye Uravnenia 17 (1981), no. 4, 697-709. MR 82j:30067. (English translation in Differential equations 17 (1981), 477-485).
  22. On the algebra generated by two projections, Dokl. Akad. Nauk Ukrain. SSR, Ser. A, 8 (1981), 10-13 (with N.L.Vasilevsky). MR 82k:47063.
  23. An effective method of factorization, Ukrain. Mat. Zh. 34 (1982), no. 1, 15-19 (with V.N.Gavdzinsky). MR 83g:30049. (English translation in Ukrainian Math. J. 34 (1982), 13-16).
  24. Sharp estimates of the defect numbers of a generalized Riemann boundary value problem, factorization of Hermitian matrix functions, and some problems on approximation of meromorphic functions, Mat. Sb. (N.S.) 117 (159) (1982), no. 2, 196-215 (with G.S.Litvinchuk). MR 83g:30050. (English translation in Math. USSR Sbornik 45 (1983), no. 2, 205-224).
  25. Factorization of measurable matrix-valued functions and related problems in the theory of systems of singular integral equations and the vector Riemann boundary value problem. II, Differentsial'nye Uravnenia 18 (1982), no.3, 487-498. MR 84j:30077. (English translation in Differential Equations 18 (1982), 373-382).
  26. A criterion for the subnormalcy of operators in Hilbert Space, Funktsional. Anal. i Prilozhen. 16 (1982), no. 2, 86-87. MR 83i:47033. (English translation in Functional Analysis and its Applications 16 (1982), 148-150.
  27. Some generalizations of Szegö's first limit theorem, Anal. Math. 9 (1983), no. 1, 23-41 (with M.G.Krein). MR 84i:15017.
  28. On the Noethericity of some singular integral operators with matrix coefficients of class SAP, and systems of convolution equations on a finite interval associated with them, Dokl. Akad. Nauk SSSR 269 (1983), no. 3, 531-535 (with Yu.I.Karlovich). MR 85d:47053. (English translation in Soviet Math. Dokl. 27 (1983), no. 2, 358-363).
  29. On the application of some classes of integro-functional equations to the economical-ecological systems simulation, in: Applications of mathematical methods in economical-ecological researches (1983), Kiev, Economical Institute, Ukrainian Academy of Sciences (with V.K.Bulitko, A.A.Karelin).
  30. On one model of the association structured by the parameter, the same edition (with Yu.D.Latushkin).
  31. Factorization of certain classes of semi-almost-periodic matrix functions and its applications to systems of equations of convolution type, Izv. Vyssh. Uchebn. Zaved. Mat. 4 (1983), 88-94. MR 85h:45009. (English translation in Soviet Math. - Iz. VUZ 27 (1983), 107-115).
  32. Factorization of matrix functions belonging to the classes and TL, Ukrain. Mat. Zh. 35 (1983), no.4, 455-460. MR 84k:30045. (English translation in Ukrainian Math. J. 35 (1983), 383-388).
  33. Block-Toeplitz matrices and associated properties of a Gaussian model on the half axis, Teoret. Mat. Fiz. 63 (1985), no. 1, 154-160 (with A.L.Sakhnovich). MR 87a:82065. (English translation in Theoretical & Mathematical Physics).
  34. Factorization of almost periodic matrix functions and Fredholm theory of Toeplitz operators with semi almost periodic matrix symbols, in Linear and Complex Analysis problem book: 199 research problems, Lecture Notes in Math. 1043, Springer-Verlag (1984), 279-282 (problem 5.9) (with Yu.I.Karlovich).
  35. Some problems connected with the Szegö limit theorems, the same edition, 285-288 (problem 5.11) (with M.G.Krein).
  36. The Riemann boundary value problem whose matrix coefficient admits infinite partial indices, Izv. Vyssh. Uchebn. Zaved. Mat. 6 (1985), 45-53 (with S.I.Yatsko). MR 87b:30068. (English translation in Soviet Mathematics (Iz. VUZ) 29 (1985), 55-65).
  37. Szegö limit theorems in the case of a matrix locally sectorial symbol, Dokl. Akad. Nauk SSSR 284 (1985), no.1, 61-65. MR 87b:47027. (English translation in Soviet Math. Dokl. 32 (1985), no. 2, 393-396).
  38. Factorization of triangular matrix functions with the diagonal elements from class SAP_Gamma, Memoirs of the anniversary seminar on boundary value problems devoted to F.Gahov (1985), Minsk, Byelorussian State University, 188-192.
  39. On the theory of a boundary value problem of Nikolai Vekua, Trudy Tbiliss. Univ. Mat. Mekh. Astronom. 19-20 (1986), 163-188 (with Yu.D.Latushkin, G.S.Litvinchuk). MR 88f:30068.
  40. Factorization of almost periodic matrices and the Noether theory of systems of Wiener-Hopf equations with semi-almost-periodic presymbols. Reports of the extended sessions of a seminar of the I.N.Vekua Institute of Applied Mathematics 1, no. 1, 106-109, Tbilis. Gos.Univ., Tbilisi, 1985 (with Yu.I.Karlovich, G.S.Litvinchuk). MR 87i:00014.
  41. Vector Riemann boundary value problem in the discontinuous case, The same edition, 191-194.
  42. Generalized factorization of matrix-functions and the Riemann boundary value problem with infinite partial indices, Dokl. Akad. Nauk SSSR 286 (1986), no. 3, 559-562. MR 88d:30052. (English translation in Soviet Math. Dokl. 33 (1986), no. 1, 145-149).
  43. On the theory of systems of equations of convolution type with semi-almost-periodic symbols in spaces of Bessel potentials, Dokl. Akad. Nauk SSSR 286 (1986), no. 4, 799-803 (with Yu.I.Karlovich). MR 87f:46066. (English translation in Soviet Math. Dokl. 33 (1986), no. 1, 145-149).
  44. Asymptotic behavior of the determinants of block Toeplitz matrices in the locally sectorial case, Zap. Nauch. sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) 149 (1986), 76-92. MR 87m:47069. (English translation in Journal of Soviet Mathematics 42, no. 2 (1988), 1591-1603.
  45. Singular integral operators with a piecewise sectorial matrix symbol, Soobshch. Akad. Nauk Gruzin. SSR 121 (1986), no. 2, 249-252. MR 87k:45009.
  46. Partial indices of triangular matrices of order higher then two, Ukrain. Mat. Zh. 39 (1987), no. 6, 751-756 (with P.M.Tishin). MR 89a:15014. (English translation in Ukrainian Math. J. 39 (1987), 611-615).
  47. The vector Riemann boundary value problem with infinite deficient numbers and the factorization of matrix-functions connected with it, Mat. Sb. (N.S.) 135 (177) (1988), no. 4, 533-550. MR 89j:30058. (English translation in Math. USSR - Sb. 63 (1989), no. 2, 521-538).
  48. Factorization of new classes of almost-periodic matrix functions, Reports of the extended sessions of a seminar of the I.N.Vekua Institute of Applied Mathematics 3, no. 1, 170-173 (with P.M.Tishin), Tbilis.Gos.Univ., Tbilisi, 1989.
  49. Factorization of measurable matrix-functions in classes with power weight, Izv. Vyssh. Uchebn. Zaved. Mat. 5 (1988), 62-70. MR 89k:30050. (English translation in Soviet Math. (Iz. VUZ) 32 (1988), no. 5, 78-88).
  50. On the efficient factorization of matrix-functions, Izv. Vyssh. Uchebn. Zaved. Mat. 4 (1989), 17-24 (with A.M.Tashbaev). MR 90i:30071. (English translation in Soviet Math. (Iz. VUZ) 33 (1989), 85-93).
  51. Factorization of almost-periodic matrix-functions and Noether theory of certain classes of convolution type equations, Izv. akad. Nauk SSSR, Ser. Mat. 53 (1989), 276-308 (with Yu.I.Karlovich). MR 90f:47034. (English translation in Mathematics of the USSR Izvestiya 34 (1990), no. 2, 281-316).
  52. On the factorization of almost-periodic matrix-functions, Mat. Zametki 45 (1989), no. 6, 74-82. MR 90k:47033. (English translation in Math. Notes 45 (1989), no. 5-6, 482-488).
  53. Factorization of Hermitian matrix-functions and classification of shifts in a space with indefinite metric, Ukrain. Mat. Zh. 41 (1989), no. 10, 1388-1391. MR 90k:47036. (English translation in Ukrain. Math. J. (1989), 1195-1197).
  54. Factorization of piecewise constant matrix functions with 3 points of discontinuity in classes and its applications, Dokl. Akad. Nauk SSSR 307 (1989), no. 2, 291-296 (with A.M.Tashbaev). MR 90k:47057. (English translation in Soviet Math. Dokl. 40 (1990), no. 1, 80-85).
  55. Toeplitz operators with piecewise quasisectorial symbols, Bull. London Math. Soc. 22 (1990), 281-286 (with A.Böttcher, B.Silbermann). MR 90m:47042.
  56. A Gohberg-Krupnik-Sarason symbol calculus for algebras of Toeplitz, Hankel, Cauchy, and Carleman operators, Operator Theory: Advances and Applications 48 (1990), 189-234 (with A.Böttcher, S.Roch, B.Silbermann). MR 93m:47029.
  57. Toeplitz operators with PQC symbols on weighted Hardy spaces, Journal of Functional Analysis 97 (1991), 194-214 (with A.Böttcher). MR 92k:47046.
  58. Factorization of certain piecewise constant matrix functions and its applications, Mathematische Nachrichten 151 (1991), 241-261 (with A.M.Tashbaev). MR 92i:47061.
  59. Spectral assignment of Hilbert space operators, Houston Journal of Mathematics 17 (1991), no. 4, 501-523 (with L.Gurvits, L.Rodman). MR 93c:47004.
  60. Singular integral operators with PC symbols on the spaces with general weights, Journal of Functional Analysis 105 (1992), no. 1, 129-143. MR 93d:47057.
  61. Linear maps preserving regional eigenvalue location, Linear and Multilinear Algebra 32 (1992), 253-264 (with Ch.Johnson, C.K.Li, S.Pierce, L.Rodman). MR 94i:15008.
  62. Wiener-Hopf integral operators with PC symbols on spaces with Muckenhoupt weight, Revista Matemática Iberoamericana 9 (1993), no. 2, 257-279 (with A.Böttcher). MR 94e:45004.
  63. On a theorem of Rooney concerning the spectrum of the singular integral operator, Zeitschrift für Analysis und ihre Anwendungen 12 (1993), 93-96 (with A.Böttcher). MR 94h:47093.
  64. The Carathéodory-Toeplitz problem for almost periodic functions, Journal of Functional Analysis 114 (1993), 281-293 (with H.J.Woerdeman). MR 94f:47020.
  65. On convolution equations with semi-almost periodic symbols on a finite interval, Integral Equations and Operator Theory 16 (1993), 530-538 (with A.B.Kuijper). MR 94c:47041.
  66. Factorization of operators with angularly constrained spectra, Operator Theory: Advances and Applications 62 (1993), 125-143 (with Ch.R.Johnson). MR 95e:47005.
  67. Generalized Abel integral operators on the spaces with Rooney weights, Zeitschrift für Analysis und ihre Anwendungen 12 (1993), no. 4, 655-661 (with F.Penzel). MR 95e:45003.
  68. Banach algebras of singular integral operators with piecewise continuous coefficients. General contour and weight, Integral Equations and Operator Theory 17 (1993), no. 3, 322-337 (with I.Gohberg and N.Krupnik). MR 94f:47057.
  69. Toeplitz operators with semi-almost periodic symbols on spaces with Muckenhoupt weight, Integral Equations and Operator Theory 18 (1994), 261-276 (with A.Böttcher, Yu.Karlovich). MR 95e:47034.
  70. Pseudodifferential operators with heavy spectrum, Integral Equations and Operator Theory 19 (1994), 251-269 (with A.Böttcher). MR 95d:47067.
  71. Inequalities involving the numerical radius Linear and Multilinear Algebra 37 (1994), 13-24 (with Ch.R.Johnson, S.Gottlieb). MR 95k:15037.
  72. Boundary value problems for functions analytic on multiply connencted domains on spaces with a general weight, Operator Theory: Advances and Applications (1994), 350-360 (with D. Kurtz and Yu. Latushkin). MR 96c:30038.
  73. Spectral assignment problems, Linear and Complex Analysis Problem Book 3, Part I. Lecture Notes in Mathematics 1573 (1994), 223-225 (with L.Rodman).
  74. Once more on algebras generated by two projections, Linear Algebra and Its Applications 208/209 (1994), 377-395. MR 95e:46071.
  75. (Semi-)Fredholmness of convolution operators on the spaces of Bessel potentials, Operator Theory: Advances and Applications 71 (1994), 122-152 (with Yu. Karlovich). MR 95h:47034.
  76. Factorization of almost periodic matrix functions, Journal of Mathematical Analysis and Applications 193 (1995), 209-232 (with Yu.Karlovich). MR 96m:47047.
  77. Almost periodic factorization: An analogue of Chebotarev's algorithm Contemporary Math. 189 (1995), 327-352 (with Yu. Karlovich). MR 96h:47024.
  78. Norms of the singular integral operator with Cauchy kernel along certain contours, Integral Equations and Operator Theory 24 (1996), 68-80 (with I. Feldman, N. Krupnik). MR 96j:47046.
  79. Sampling and interpolating for a lacunari spectrum, Proceedings of the Royal Society of Edinburgh, 126A (1996), 77-87 (with Yu. Lyubarski). MR 97b:41004.
  80. Banach algebras generated by N idempotents and applications, Operator Theory: Advances and Applications 90 (1996), 19-54 (with A. Böttcher, I. Gohberg, Yu. Karlovich, N. Krupnik, S. Roch, and B. Silbermann). MR 97h:46078.
  81. Semi-Fredholm properties of certain singular integral operators, Operator Theory: Advances and Applications 90 (1996), 264-287 (with Yu.I.Karlovich). MR 97k:47046.
  82. Positive extensions of matrix functions of two variables with support in an infinite band, C. R. Acad. Sci. Paris. 323, no. 8 (1996), 859-863 (with M. Bakonyi, L. Rodman and H. Woerdeman). MR 97i:47023.
  83. Spectral factorization of measurable rectangular matrix functions and the vector-valued Riemann problem, Revista Matemática Iberoamericana 12, no. 3 (1996), 669-696 (with M. Rakowski). MR 98a:15030.
  84. The numerical range of 3-by-3 matrices, Linear Algebra and Applications 252 (1997), 115-139 (with D. Keeler, L. Rodman). MR 97k:15062.
  85. On normal solvability of the Riemann problem with singular coefficient, Proceedings of the AMS 125, no. 3 (1997), 815--826 (with M. Rakowski) MR 97e:47026.
  86. Riemann boundary value problem in the spaces with singular weight, Russian Acad. Sci. Dokl. Math. 353 (1997), no. 6, 717-719 (with F. Soria, K. Kazarian) MR 98j:30046.
  87. Nonlinear transmission problems, Mem. Differential Equations Math. Phys. 12 (1997), 223-230 (with E. Wegert, G. Khimshiashvili). MR 99g:47058.
  88. Equality of higher numerical ranges of matrices and a conjecture of Kippenhahn on hermitian pencils, Linear Algebra and Applications 270 (1998), 323-349 (with C.K. Li and S. Shukla). MR 98k:15040.
  89. On a new algorithm for almost periodic factorization, Operator Theory: Advances and Applications 103 (1998), 53-74 (with M. A. Bastos, Yu. Karlovich and P. Tishin). MR 99g:47034.
  90. Carathéodory-Toeplitz and Nehari problems for matrix valued almost periodic functions, Transactions of the American Mathematical Society 350 (1998), 2185--2227 (with L. Rodman and H. Woerdeman). MR 98h:47023.
  91. On semi-Fredholmness of singular integral operators with matrix semi-almost periodic coefficients, Russian Acad. Sci. Dokl. Math. 57 (1998), no. 2, 176-178 (with Yu. Karlovich). MR 99k:47119.
  92. New cases of almost periodic factorization of triangular matrix functions, Michigan Mathematical Journal 45 (1998), 73-102 (with D. Quint and L. Rodman). MR 99c:47020.
  93. Almost periodic factorization: Applicability of the division algorithm, Advances in Mathematical Sciences 184 (1998), 97-109 (with M. Gelfand). MR 2000k:47019.
  94. Almost periodic factorization and Corona theorem, Indiana University Mathematics Journal 47, no. 4 (1998), 1243-1256 (with L. Rodman). MR 2000d:47037.
  95. Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions, Integral Equations and Operator Theory 32 (1998), 243-281 (with J. A. Ball, Yu. I. Karlovich and L. Rodman). MR 99k:47033.
  96. On totally real non-compact manifolds globally foliated by analytic discs, Partial Differential and Integral Equations (1999), 107-123 (with E. Wegert and G. Khimchiachvili). MR 2000b:32077.
  97. Positive matrix functions on the bitorus with prescribed Fourier coefficients in a band, Journal of Fourier Analysis and Applications 5 (1999), 789-812 (with M. Bakonyi, L. Rodman and H. Woerdeman). MR 2001c:42015.
  98. Almost periodic factorization of block triangular matrix functions revisited, Linear Algebra and Applications 293 (1999), 199-232 (with Yu. I. Karlovich and R. A. Walker). MR 2000e:47035.
  99. Local spectra and index of singular integral operators with piecewise continuous coefficients on composed curves, Math. Nachr. 206 (1999), 5-83 (with C. J. Bishop, A. Böttcher and Yu. I. Karlovich). MR 2000i:47090.
  100. Almost periodic factorization of certain block triangular matrix functions, Mathematics of Computation 69 (2000), no. 231, 1053--1070 (with D. Yong). MR 2000j:65038.
  101. Matrix functions with arbitrarily prescribed left and right partial indices, Integral equations and Operator Theory 36 (2000), 71-91 (with A. Böttcher and S. M. Grudsky). MR 2000j:47033.
  102. On the non-round points of the boundary of the numerical range, Linear and Mulitlinear Algebra 47 (2000), 29-34. MR 2001a:15030.
  103. On the Fredholm indices of associated systems of Wiener-Hopf equations, Journal of Integral Equations and Applications 12 (2000), 1-29 (with A. Böttcher and S. M. Grudsky). MR 2001c:47052.
  104. The spectrum is discontinuous on the manifold of Toeplitz operators, Arch. Math. 75 (2000), no. 1, 46-52 (with A. Böttcher and S. M. Grudsky). MR 2001c:47034.
  105. On eigenvalues and boundary curvature of the numerical range, Linear Algebra and Applications 322 (2001), 129-140 (with L. Caston, M. Savova and N. Zobin). MR 2001k:47009.
  106. Toeplitz operators with frequency modulated semi-almost periodic symbols, Journal of Fourier Analysis and Applications 7 (2001), 523-535 (with A. Böttcher and S. M. Grudsky). MR 2002e:47029.
  107. On rho-contractive 2-by-2 matrices and their infinite dimensional generalizations, Linear Algebra and Applications 325 (2001), 177-189 (with K. Okubo). MR 2003a:47011.
  108. Toeplitz operators with semi-almost-periodic matrix symbols on Hardy spaces, Acta Appl. Math. 65 (2001), Nos. 1-3, 115-136 (with A. Böttcher and Yu. I. Karlovich). MR 2002h:47041.
  109. Multiblock problems for almost periodic matrix functions of several variables. New York J. Math. 7 (2001), 117-148 (with L. Rodman and H. J. Woerdeman). MR 2002h:42013.
  110. Factorization of almost periodic matrix functions of several variables and Toeplitz operators, Operator Theory: Advances and Applications 122 (2001), 385-416 (with L. Rodman and H. J. Woerdeman). MR 2002f:47063.
  111. Factorization of piecewise constant matrix functions and systems of linear differential equations. Algebra and Analysis 13 (2001), 56-123 (with T. Ehrhardt). MR 2004h:30045.
  112. Positive eigenvalues and two-letter generalized words, Electronic Journal of Linear Algebra 9 (2002), 21-26 (with C. Hillar and C. R. Johnson). MR 2002k:15020.
  113. Fredolmness and invertibility of Toeplitz operators with matrix almost periodic symbols, Proceedings of the AMS 130 (2002), 1365-1370 (with L. Rodman and H. J. Woerdeman). MR 2002k:47059.
  114. Birkhoff's theorem and convex hulls of Coxeter groups, Linear Algebra and Applications 347 (2002), 219-231 (with N. McCarthy, D. Ogilvie and N. Zobin). MR 2003g:51012.
  115. Contractive extension problems for matrix valued almost periodic functions of several variables, Journal of Operator Theory 47 (2002), 3-35 (with L. Rodman and H. J. Woerdeman). MR 2003k:42025.
  116. Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation, Memoirs of the Amer. Math. Soc. 762 (2002), viii+71 pp. (with L. Rodman and H. J. Woerdeman). MR 2003h:47029.
  117. Convex hulls of Coxeter groups, Functions Spaces, Interpolation Spaces and Related Problems in Analysis, De Gruyter (2002), 213-240 (with J. Brandman, J. Fowler, B. Lins and N. Zobin). MR 2003j:51009.
  118. Toeplitz Corona Problem for Algebras of Almost Periodic Functions, Operator Theory: Advances and Applications 135 (2002), 25-37 (with J. Ball and L. Rodman). MR 2003i:42014.
  119. On the essential spectrum of Toeplitz operators with semi-almost periodic symbols, Operator Theory: Advances and Applications 142 (2003), 59-77 (with A. Böttcher and S. M. Grudsky). MR 2006i:47048.
  120. On numerical ranges and roots, J. Math. Anal. Appl. 282 (2003), 329-340 (with C. K. Li and L. Rodman). MR 2004g:47009.
  121. Block Toeplitz operators with frequency modulated semi-almost periodic symbols, International Journal of Mathematics and Mathematical Sciences 34 (2003), 2157-2176 (with A. Böttcher and S. M. Grudsky). MR 2004d:47060.
  122. An overview of matrix factorization theory and operator applications, Operator Theory: Advances and Applications 141 (2003), 1--102 (with I. Gohberg and M. A. Kaashoek). MR 2004j:47034.
  123. On the algebra generated by a poly-Bergman projection and a composition operator, Factorization, Kluwer (2003), (with J. Ramirez). MR 2004g:47093.
  124. C^*-algebra of singular integral operators with semi-almost periodic coefficients, Journal of Functional Analysis 204 (2003), 445--484 (with A. Böttcher and Yu. Karlovich). MR 2004j:47057.
  125. Noncanonical factorizations of almost periodic multivariable matrix functions, Operator Theory: Advances and Applications 142 (2003), 311--344 (with L. Rodman and H. J. Woerdeman). MR 2006d:47034.
  126. Finite reflection groups and linear preserver problems, Rocky Mountain Journal of Mathematics 34 (2004), 225--251 (with C.K. Li and N. Zobin). MR 2005e:20056.
  127. On matrices with elliptical numerical ranges, Linear and Multilinear Algebra 52 (2004), 177--193 (with E. Brown). MR 2005j:15030.
  128. On flat portions on the boundary of the numerical range, Linear Algebra and Applications 390 (2004), 75--109 (with E. Brown). MR 2005g:15044.
  129. Factorization of block triangular matrix functions in Wiener algebras on ordered abelian groups, Operator Theory: Advances and Applications 149 (2004), 441-465 (with C. van der Mee, L. Rodman, and H. J. Woerdeman). MR 2005f:47051.
  130. 3-by-3 matrices with a flat portion on the boundary of the numerical range, Linear Algebra and Applications 397 (2005), 193--207 (with L. Rodman). MR 2005i:15047.
  131. Shift techniques and canonical factorizations in the solution of M/G/1-type Markov chains, Stochastic Models 21 (2005), 279--302 (with D. Bini and B. Meini). MR 2006a:60133.
  132. Analytic roots of invertible matrix functions, Electronic Journal of Linear Algebra 13 (2005), 187--196 (with L. Rodman). MR 2006g:47022.
  133. Factorization of block triangular matrix functions with off-diagonal binomials, Operator Theory: Advances and Applications 160 (2005), 425--439 (with C. van der Mee and L. Rodman). MR 2007j:47040.
  134. Factorization of matrix functions with subgroup supported Fourier coefficients, Journal of Mathematical Analysis and Applications 323 (2006), 604--613 (with L. Rodman). MR 2009b:43015.
  135. On polynomials in two projections, Electronic Journal of Linear Algebra 15 (2006), 154--158. MR 2007b:47006.
  136. Sets of matrices with given joint numerical range, Linear Algebra and Applications 419 (2006), 569--585 (with N. Ya. Krupnik). MR 2008c:15045.
  137. Factorization in weighted Wiener matrix algebras on linearly ordered Abelian groups, Integral Equations and Operator Theory 58 (2007), 65--86 (with T. Ehrhardt, C. van der Mee and L. Rodman). MR 2008b:46075.
  138. On generalized numerical ranges of quadratic operators, Operator Theory: Advances and Applications 179 (2007), 241--256 (with L. Rodman). MR 2009d:47007.
  139. On the numerical range behavior under the generalized Aluthge transform, Linear and Multilinear Algebra 56 (2008), 163--177 (with D. Rose). MR 2009b:15073.
  140. Spectral dominance and commuting chains, Proceedings of the AMS 136 (2008) 2019--2029 (with B. Hoai and C.R. Johnson). MR 2009f:47025.
  141. On the the stabilization of the Aluthge sequence, International Journal of Information and System Sciences, 4 (2008), 178--189 (with D. Rose). MR 2009d:15066.
  142. Spectral factorization, unstable canonical factorization, and open factorization problems in control theory, Operator Theory: Advances and Applications 181 (2008), 321--346 (with K. M. Mikkola). MR 2011k:47033.
  143. On the norms of singular integral operators on contours with intersections, Complex Analysis and Operator Theory 2 (2008), 617--626 (with N. Ya. Krupnik). MR 2009m:47122.
  144. On the spectra of some Toeplitz and Wiener-Hopf operators with almost periodic matrix symbols, Operators and Matrices 2 (2008), 371--383 (with A. Isgur). MR 2009g:47077.
  145. Algebras of Almost Periodic Functions with Bohr-Fourier Spectrum in a Semigroup: Hermite Property and its Applications, Journal of Functional Analysis 255 (2008), 3188--3207 (with L. Rodman). MR 2009k:46088.
  146. Almost periodic factorization of some triangular matrix functions, Operator Theory: Advances and Applications 190 (2009), 171--190 (with M. C. Camara and Yu. I. Karlovich). MR 2010k:47038.
  147. Drazin inversion in the von Neumann algebra generated by two orthogonal projections, J. Math. Anal. Appl. 358 (2009), 403--409 (with A. Böttcher). MR 2010e:47003.
  148. Connectedness of spectra of Toeplitz operators on Hardy spaces with Muckenhoupt weights over Carleson curves, Integral Equations and Operator Theory 65 (2009), 83--114 (with A. Karlovich). MR 2010j:47034.
  149. Matrices with normal defect one, Operators and Matrices 3 (2009), 401--438 (with D. Kalyuzhnyi-Verbovetsky and H. Woerdeman). MR 2011c:47017.
  150. Almost periodic factorization of 2-by-2 triangular matrix functions: New cases of off diagonal spectrum, Operator Theory: Advances and Applications 202 (2010), 469--487 (with A. Rastogi and L. Rodman). MR 2012a:47045.
  151. Almost periodic polynomial factorization of some triangular matrix functions, Operator Theory: Advances and Applications 202 (2010), 337--354 (with Yu. Karlovich).
  152. On common invariant cones for families of matrices, Linear Algebra and Applications 432 (2010), 911--926 (with L. Rodman and H. Seyalioglu). MR 2011d:15051.
  153. A gentle guide to the basics of two projections theory, Linear Algebra and Applications 432 (2010), 1412--1459 (with A. Böttcher). MR 2010k:47004.
  154. Constructive almost periodic factorization of some triangular matrix functions, Journal of Mathematical Analysis and Applications 367 (2010), 416--433 (with M. C. Camara and Yu. I. Karlovich). MR 2011h:47052.
  155. Projective free algebras of continuous functions on compact abelian groups, Journal of Functional Analysis 259 (2010), 918--932 (with A. Brudnyi and L. Rodman). MR 2011m:46083.
  156. On certain finite-dimensional algebras generated by two idempotents, Linear Algebra abd Applications 435 (2011), 1823--1836 (with A. Böttcher). MR 2012d:15039.
  157. The ratio field of values, Linear Algebra and Applications 434 (2011), 1119--1136 (with B. Lins, E. Einstein and C.R. Johnson). MR 2012a:15038.
  158. Constructive factorization of some almost periodic triangular matrix functions with a quadrinomial off diagonal entry, Journal of Mathematical Analysis and Applications 376 (2011), 625--640 (with M. A. Bastos, A. Bravo and Yu. I. Karlovich). MR 2012f:47050.
  159. Factorization versus invertibility of matrix functions on compact abelian groups, Operator Theory: Advances and applications 218 (2012), 225--239 (with A. Brudnyi and L. Rodman). MR 2931930.
  160. Numerical ranges of cube roots of the identity, Linear Algebra and Applications 435 (2011), 2639--2657 (with T. R. Harris, M. Mazella, L. J. Patton, and D. Renfrew). MR 2012g:47019.
  161. Non-densness of factorable matrix functions, Journal of Functional Analysis 261 (2011), 1969--1991 (with A. Brudnyi and L. Rodman). MR 2012h:47029.
  162. On singular integral operators with semi-almost periodic coefficients on variable Lebesgue spaces, Journal of Mathematical Analysis and Applications 384 (2011), 706--725 (with A. Karlovich). MR 2012g:47139.
  163. Numerical ranges of Toeplitz operators with matrix symbols, Linear Algebra and Applications 436 (2012), 1721--1726 (with N. Bebiano). MR 2890952.
  164. Ratio numerical ranges of operators, Integral Equations and Operator Theory 71 (2011), 245--257 (with L. Rodman). MR 2012h:47096.
  165. The possible shapes of numerical ranges, Operators and Matrices 6 (2012), 607--611 (with J. W. Helton). MR 29007030.
  166. Kernels of asymmetric Toeplitz operators and applications to almost periodic factorization, Complex Analysis and Operator Theory 7 (2013), 375--407 (with M. C. Camara and Yu. I. Karlovich). MR 3037055.
  167. Pseudodifferential operators on variable Lebesgue spaces, Operator Theory: Advances and Applications 228 (2013), 173--183 (with A. Karlovich). MR 3025495.
  168. Numerical ranges of companion matrices: flat portions on the boundary, Linear and Multilinear Algebra 60 (2012), 1295--1311 (with J. Eldred and L. Rodman). MR 2989764.
  169. Compressions of linearly independent selfadjoint operators, Linear Algebra and Applications 436 (2012), 3757--3766 (with L. Rodman). MR 2900751.
  170. The factorization problem: some known results and open questions, Operator Theory: Advances and Applications 229 (2013), 101--122 (with A. Böttcher). MR 3060410.
  171. Factorizations, Riemann-Hilbert problems and the Corona Theorem, J. London Math. Soc. 86 (2012), 852--878 (with M. C. Camara, C. Diogo, and Yu. I. Karlovich). MR 3000833.
  172. A remark on polynomial matrix factorization theorem, Georgian Mathematical Journal 19 (2012), 489--495 (with L. Ephremidze). MR 2984501.
  173. Group inversion in certain finite-dimensional algebras generated by two idempotents, Indagationes Mathematicae 23 (2012), 715--732 (with A. Böttcher).
  174. Classification of the finite-dimensional algebras generated by two tightly coupled idempotents, Linear Algebra and Applications 439 (2013), 538--551 (with A. Böttcher). MR 3057092.
  175. The Cauchy singular integral operator on weighted variable Lebesgue spaces, Operator Theory: Advances and Applications 236 (2013), 275--291(with A. Karlovich). MR 3203066.
  176. The product field of values, Linear Algebra and Applications 438 (2013), 2155--2173 (with D. Corey, C. Johnson, R. Kirk and B. Lins). MR 3005282.
  177. Continuity properties of vectors realizing points in the classical field of values, Linear and Multilinear Algebra 61 (2013), 1329--1338 (with D. Corey, C. Johnson, R. Kirk and B. Lins). MR 3175367.
  178. On the kernel and cokernel of some Toeplitz operators, Operator Theory: Advances and Applications 237 (2013), 127--144 (with T. Ehrhardt).
  179. On almost normal matrices, Textos de Matematica 44 (2013), 131--144 (with T. Moran).
  180. 3-by-3 matrices with elliptical numerical range revisited, Electronic Journal of Linear Algebra 26 (2013), 158--167, (with P. Rault and T. Sendova). MR 3065855.
  181. Numerical range of some doubly stochastic matrices, Applied Mathematics and Computation 221 (2013), 40--47 (with K. Camenga, P. Rault and T. Sendova).
  182. On the factorization of some block triangular almost periodic matrix functions, Operator Theory: Advances and Applications 242 (2014), 25--52 (with A. Bastos, A. Bravo, and Yu. Karlovich).
  183. Pre-images of Boundary Points of the Numerical Range, Operators and Matrices 8 (2014), 699--724 (with T. Leake and B. Lins). MR 3257887.
  184. Inverse Continuity on the Boundary of the Numerical Range, Linear and Multilinear Algebra 62 (2014), 1335--1345 (with T. Leake and B. Lins). MR 3261740.
  185. On Numerical Ranges of Rank-two Operators, Integral Equations and Operator Theory 77 (2013), 441--448 (with L. Rodman). MR 3116668.
  186. The distribution of eigenvalues of doubly cyclic Z_+-matrices, Linear Algebra and its Applications 439 (2013), 3576--3580 (with C. R. Johnson and Z. Price). MR 3119872.
  187. On the Gau-Wu Number for Some Classes of Matrices, Linear Algebra and its Applications 444 (2014), 254--262 (with K. Camenga, P. Rault and T. Sendova). MR 3145844.
  188. Factorization of some triangular matrix functions and its applications, Operators and Matrices 9 (2015), 1--29 (with Yu. I. Karlovich and Juan Loretto-Hernandez).
  189. Factorization of matrices with symmetries over function algebras, Integral Equations and Operator Theory 80 (2014), 469--510 (with L. Rodman).
  190. One sided invertibility of matrices over commutative rings, corona problems, and Toeplitz operators with matrix symbols, Linear Algebra and its Applications 459 (2014), 58--82 (with M. C. Camara and L. Rodman).
  191. On the numerical ranges of some tridiagonal matrices, Linear Algebra and its Applications 470 (2015), 228--240 (with R. T. Chien). MR 3314314.
  192. Some aspects of a novel matrix spectral factorization algorithm, Proceedings of A. Razmadze Mathematical Institute 166 (2014), 49--60 (with L. Ephremidze and N. Salia). MR 3300615.
  193. On possible tuples of partial indices of triangular matrix functions, Reports of the National Academy of Sciences of Armenia 115 (2015), 7--14 (with K. V. Hartyunyan and A. G. Kamalyan). MR 3469521.
  194. Some extremal properties of the partial indices of triangular matrix functions, Reports of the National Academy of Sciences of Armenia 115 (2015), 87--92 (with K. V. Hartyunyan and A. G. Kamalyan). MR 3497382.
  195. Rank-deficient spectral factorization and wavelets completion problem, International Journal of Wavelets, Multiresolution and Information Processing 13 (2015), 1550013 (with L. Ephremidze and E. Lagvilava). MR 3350063.
  196. Toeplitz operators of finite interval type and the table method, Journal of Mathematical Analysis and Applications 432 (2015), 1148--1173 (with M. C. Camara and C. Diogo). MR 3378415.
  197. Line segments on the boundary of the numerical ranges of some tridiagonal matrices, Electronic Journal of Linear Algebra 30 (2015), 693--703 (with C. M. Thomas). MR 3426294.
  198. Matrix spectral factorization with perturbed data, Mem. Differential Equations Math. Phys. 66 (2015), 65--82 (with L. Ephremidze). MR 3454245.
  199. Corrections and additions to `Inverse continuity oN the boundary of the numerical range', Linear and Multilinear Algebra 64 (2016), 100--104 (with T. Leake and B. Lins).
  200. Continuity of the maximum entropy inference: Convex geometry and numerical range approach, Journal of Mathematical Physics 54 (2016), 015204, 17 pp. (with L. Rodman, A. Szkola, and S. Weis).
  201. Quantitative results on continuity of the spectral factorization mapping in the scalar case, Bol. Soc. Mat. Mex. 22 (2016), 517--527 (with L. Ephremidze and E. Shargorodsky). MR 3544152.
  202. Numerical ranges of 4-by-4 nilpotent matrices: Flat portions on the boundary, Operator Theory: Advances and Applications 259 (2017), 561--591 (with E. Militzer, L.J. Patton, and M.-C. Tsai). MR 3674639.
  203. Pre-images of extreme points of the numerical range, and applications, Operators and Matrices 10 (2016), 1043--1058 (with S. Weis). MR 3584690.
  204. Normal matrices subordinate to a tree and flat portions of the field of values, Linear Algebra and its Applications 507 (2016), 198--207 (with C. R. Johnson, M. Stevanovic, and M. Turnansky). MR 3536953.
  205. On the normalized numerical range, Operators and Matrices 11 (2017), 219--240 (with A.-F. Stoica). MR 3602640.
  206. On non-optimal spectral factorization, Georgian Math. J. (with L. Ephremidze and I. Selesnik), to appear.
  207. On Robinson's energy delay theorem, Transactions of A. Razmadze Mathematical Institute 171 (2017), 16--23 (with L. Ephremidze and W. H. Gerstacker). MR 3623628.
  208. Operators with compatible ranges in an algebra generated by two orthogonal projections, Advances in Operator Theory 3 (2018), 129--134.
  209. A distance formula related to a family of projections orthogonal to their symmetries, Operator Theory: Advances and Applications, to appear.


Books

  1. Factorization of matrix functions, Manuscript no. 2410-84, VINITI, 1984, 460 pp. (with G.S.Litvinchuk).
  2. Factorization of almost periodic matrix functions and (semi)Fredholmness of some classes of convolution type equations, Manuscript no. 4421-85, VINITI 1985, 137 pp. (with Yu.I.Karlovich).
  3. Factorization of Measurable Matrix Functions, Mathematical Research 37, Akademie-Verlag, Berlin & Operator Theory: Advances and Applications 25, Birkhäuser-Verlag, Basel-Boston, 1987, 372 pp. (with G.S.Litvinchuk). MR 89e:47022 & MR 90g:47030.
  4. Convolution Operators and Factorization of Almost Periodic Matrix Functions, Birkhäuser-Verlag, Basel-Boston, 2002, 462 pp. (with A. Böttcher and Yu. I. Karlovich) MR 2003c:47047.
  5. Topics in Operator Theory. Volume I: Operators, Matrices, and Analytic Functions, Operator Theory: Advances and Applications 202, Birkhäuser-Verlag, Basel-Boston, 2010, 640 pp. (with J. A. Ball, V. Bolotnikov, J. W. Helton and L. Rodman --- Editors). MR 2011e:47004.
  6. Topics in Operator Theory. Volume II: Operators, Matrices, and Analytic Functions, Operator Theory: Advances and Applications 203, Birkhäuser-Verlag, Basel-Boston, 2010, 455 pp. (with J. A. Ball, V. Bolotnikov, J. W. Helton and L. Rodman --- Editors). MR 2011e:47005.
  7. Convolution Equations and Singular Integral Operators, Operator Theory: Advances and Applications 206, Birkhäuser-Verlag, Basel-Boston, 2010, xxii+217 pp. (with L. Lerer and V. Olshevsky --- Editors). MR 2011g:47001.
  8. Operator Theory, Pseudo-differential Equations, and Mathematical Physics, Operator Theory: Advances and Applications 228, Birkhäuser-Verlag, Basel-Boston, 2013, xxv+406 pp. (with Yu. Karlovich, L. Rodino, and B. Silbermann --- Editors). MR 3059564.
  9. Operator Theory, Operator Algebras, and Applications, Operator Theory: Advances and Applications 242, Birkhäuser-Verlag, Basel-Boston, 2014, xiv+373 pp. (with A. Bastos, A. Lebre, and S. Samko --- Editors).
  10. Large truncated Toeplitz matrices, Toeplitz operators, and related topics, Operator Theory: Advances and Applications 259, Birkhäuser-Verlag, Basel-Boston, 2017, xxvi+740 pp. (with D. Bini, T, Ehrhardt, and A. Karlovich --- Editors). MR 3587843.


Conference proceedings

  1. Theorems on stability and estimates of partial indices of Riemann boundary value problem and their applications, Proceedings of the 4th Republican Conference of Byelorussian mathematicians, Minsk, 1975.
  2. The stability of the generalized Riemann boundary value problem, Proceedings of the 2nd Republican Symposium on Differential and Integral equations, Odessa, 1978 (with G.S.Litvinchuk).
  3. Some peculiarities of forming of water resources economical estimate, Proceedings of the Republican Conference Application of mathematical methods in economical and ecological researches of water environment (with A.N.Bukreev), Odessa, 1979 .
  4. On the simulation of the optimization problem of freight ship's treatment, the same Proceedings (with G.A.Besfamilny).
  5. One model of separable programming in the problem of fleet's and port's resources distribution, Proceedings of the 1st All-Union Conference Management of production and automatized systems of management, Moscow, 1980 (with G.A.Besfamilny).
  6. A criterion for the subnormalcy of operators, Proceedings of the 15th Voronezh winter mathematical school, Manuscript no. 5691-81, deposited at VINITI 12/16/81, 103-104.
  7. The Noether theory of the systems of convolution type equations in spaces of Bessel potentials, Proceedings of the 3rd Republican Symposium on differential and integral equations, Odessa (1982), 194-195.
  8. Noethericity, n- and d-normality of singular integral equations in spaces of Bessel potentials, Proceedings of the 3rd Republican Symposium on differential and integral equations, Odessa (1982), 194-195.
  9. Noethericity, n- and d-normality of singular integral operators with matrix coefficients admitting the discontinuities of semi-almost-periodic type, Proceedings of the 7th All-Union school on the operator theory in functional spaces, Minsk (1982) (with Yu.I.Karlovich).
  10. Singular integral operators with matrix coefficients of class SAP and their applications to the systems of convolution type equations on a finite interval, Proceedings of the Conference High speed hydrodynamics and boundary value problems, Krasnodar (1982) (with Yu.I.Karlovich).
  11. Applications of integral and functional equations in problems of economical-ecological systems simulation, Proceedings of the Republican Conference Integral equations in applied simulation, Kiev (1983) (with V.K.Bulitko, A.A.Karelin).
  12. Model of "predator-victim" type of the association structured by the parameter, Proceedings of the Republican Conference Theory and practise of imitating simulation of compound systems, Odessa (1983) (with Yu.D.Latushkin).
  13. Singular integral equations with piecewise-sectorial matrix coefficients, Proceedings of the 8th All-Union school on the operator theory in functional spaces, Riga (1983).
  14. On the solvability of generalized Carlemann boundary value problem, Proceedings of the regional scientific Conference, Kuibyshev (1984), 67-68 (with Yu.D.Latushkin, G.S.Litvinchuk).
  15. On the factorization of almost-periodic matrix-functions, Proceedings of the 11th All-Union school on the operator theory in functional spaces, Cheljabinsk (1986), 115.
  16. New applications of the Factorization method in integral equations, Proceedings of the 9th Soviet-Czechoslovak Conference Applications of functional methods in mathematical physics, Donetsk (1986), 90 (with G.S.Litvinchuk).
  17. On the factorization of measurable matrix functions in classes with power weight, Proceedings of the 3rd All-Union Symposium Method of discrete singularities in the problems of mathematical physics, Kharkov (1987), 156-158.
  18. On operators from the algebra generated by two orthoprojections, Proceedings of the 12th All-Union school on the operator theory in functional spaces, Tambov (1987), 86.
  19. On some systems of singular integral equations which are solvable in an explicit form, Proceedings of the Republican Conference on differential and integral equations and their applications, Odessa (1987), 99-100 (with A.M.Tashbaev).
  20. Factorization of piecewise constant -matrices and its applications, Proceedings of the 13th All-Union school on the operator theory in functional spaces, Kuibyshev (1988), 176-177 (with A.M.Tashbaev).
  21. On the stability of finite section method for some singular integral equations in , Proceedings of the 4th All-Union Symposium "Methods of discrete singularities in the problems of mathematical physics", Kharkov (1989), 253-256 (with A.M.Tashbaev).
  22. Factorization of some block-triangular almost-periodical matrix functions, Proceedings of the 14th All-Union school on the operator theory in functional spaces, Novgorod (1989), 49 (with P.M.Tishin).
  23. Singular integral operators in spaces with the Muckenhoupt weight, Proceedings of the regional Conference Linear operators in functional spaces, Grozny (1989), 155-156.
  24. Matrix Riemann-Hilbert boundary value problem and its application in kinetic theory, Proceedings of the 4th International Conference on the differential equations and applications, Ruse, Bulgaria (1989), 433-443 (with A.V.Latyshev).
  25. On convergence of approximate solutions for one class of singular integral operators, Proceedings of the All-Union school on Approximation Theory (1989), 96-98 (with G.S.Litvinchuk, A.M.Tashbaev).
  26. Toeplitz operators with PC symbols in weighted spaces, Abstracts of papers presented to the American Mathematical Society 12 (1991), no. 1, 123.
  27. Analytic solution of the model Boltzmann equation with the collision operator of compound type, Modern mathematical methods in transport theory, Proc. 11th Int. Conf. Symp., Blacksburg/VA (USA) 1989, Operator Theory: Advances and Applications 51 (1991), 189-199 (with A.V.Latyshev, M.N.Gajdukov).
  28. Positive extensions of almost periodic functions, Abstracts of papers presented to the American Mathematical Society 14 (1993), no. 3, 364 (with H.Woerdeman).
  29. Fredholmness of singular integral operators and related properties of Hunt-Muckenhoupt-Wheeden weights, Abstracts of papers presented to the American Mathematical Society 15 (1994), no. 2, 316 (with I.Gohberg and N.Krupnik).
  30. Semi-Fredholmness of Toeplitz operators with (semi) almost periodic matrix symbols, Abstracts of papers presented to the American Mathematical Society 15 (1994), no. 6, 555 (with Yu. Karlovich).
  31. Banach algebras generated by N idempotents and applications, Abstracts of papers presented to the American Mathematical Society 18 (1997), no. 1, 112 (with A. Böttcher, I. Gohberg, Yu. Karlovich, N. Krupnik, S. Roch, and B. Silbermann).
  32. On partial indices of triangular matrix functions, Abstracts of the Second International conference "Mathematics in Armenia" (2013), 73 (with A. G. Kamalyan).



Research reports from contract work

  1. Improvement of the economic machinery of sea transport, Scientific Report (1980), Economical Institute, Ukrainian Academy of Sciences (with G.A.Besfamilny).
  2. On the methodology of economical estimate and quality control of water resources, Scientific Report (1980), Economical Institute, Ukrainian Academy of Sciences (with G.S.Litvinchuk, Yu.I.Karlovich).
  3. Analysis and optimization of the interaction in the ``fleet-port'' system, Scientific Report (1982), Economics and Ecology of the World Ocean Branch of the Marine Hydrophysical Institute, Ukrainian Academy of Sciences (with G.A.Besfamilny).
  4. Mathematical models of economical-ecological processes, Manuscript no. 5505-86, deposited at VINITI 07/28/86, 93 pp. (with V.K.Bulitko, Yu.D.Latushkin).



Other publications

  1. Factorization of measurable matrix functions and its applications to boundary value problems for analytic functions, Candidates dissertation (1978), 160 pp., Byelorussian State University, Minsk.
  2. Noethericity criterion for block-triangular operators and problems of the theory of matrix function factorization, Manuscript no. 2543-81, deposited at VINITI 05/28/81, 23 pp. Annotation in Sibirsky Matem. Zh. 23 (1982), no. 1.
  3. Factorization of matrix functions and its applications, Doctoral dissertation (1987), 300 pp., Mathematical Institute, Georgian Academy of Sciences, Tbilisi.
  4. Application of differential equations in some natural science problems, Methodical Report (1988), 25 pp. (with A.N.Kvitko), Odessa State Pedagogical Institute.
  5. Factorization of some piecewise constant matrix functions and its applications,
  6. Matrix Riemann-Hilbert boundary value problem in the problems of isothermal and thermal gas gliding, Manuscript no. 580-B89, deposited at VINITI 01/24/89, 3-42 (with A.V.Latyshev).
  7. Generalized Abel integral operators on the spaces with Rooney weights, Preprint 1514, Techn. Hochsch. Darmstadt, FB Mathematik (1992), 7 pp. (with F. Penzel).
  8. Pseudodifferential operators with heavy spectrum Preprint, Technische Universität Chemnitz-Zwickau (1996), 78 pp. (with C. Bishop, A. Böttcher, and Yu. Karlovich).
  9. On a new algorithm for almost periodic factorization, Preprint 12/96, Instituto Superior Técnico, Departamento de Matematica (1996), 21 pp. (with M. A. Bastos, Yu. Karlovich and P. Tishin).
  10. Almost periodic factorization of block triangular matrix functions with a singular constant term in their off-diagonal block, Technical Report 97-1, University of Washington, Department of Applied Mathematics (1997), 47 pp. (with D. Yong).
  11. On totally real non-compact manifolds globally foliated by analytic discs, Preprint 07-08, Technische Universität Bergakademie Freiberg (1997), 17 pp. (with E. Wegert and G. Khimchiachvili).
  12. Almost periodic factorization of block triangular matrix functions revisited, Preprint 28/98, Instituto Superior Técnico, Departamento de Matematica (1998), 31 pp. (with Yu. Karlovich and R. Walker).
  13. Two papers on inverse problems for the partial indices of matrix functions, Preprint 98-34, Technische Universität Chemnitz, Fakultät für Mathematik (1998), 41 pp. (with A. Böttcher and S. M. Grudsky).
  14. Factorization of piecewise constant matrix functions and systems of linear differential equations, Preprint 1999-048, MSRI, 59 pp. (with T. Ehrhardt).
  15. Toeplitz operators with semi-almost periodic matrix symbols on Hardy spaces, Preprint 276, Departamento de Matematicas, CINVESTAV del I.P.N. (2000), 23 pp. (with A. Böttcher and Yu. Karlovich).
  16. Introduction. Special issue dedicated to Antonio Avantaggiati on the occasion of his 70th birthday, Acta Appl. Math. 65 (2001), Nos. 1-3, 1-7 (with G. Bruno and A. Pankov).
  17. My Gohberg encounters. Israel Gohberg and Friends (On the Occasion of his 80th Birthday), Birkhäuser-Verlag, Basel-Boston (2008), 321--322.
  18. Drazin inversion in the von Neumann algebra generated by two orthogonal projections. Preprint 2009--02, Technische Universität Chemnitz} (2009), 11 pp. (with A. Böttcher).
  19. Short biography of Shmuel Friedland for his special LAA volume, Linear Algebra and Applications 431 (2009), 2277--2284 (with A. Berman, C. Krattenthaler, S. M. Ramp and F. Zhang).
  20. The XIXth International Workshop on Operator Theory and its Applications, Operator Theory: Advances and Applications 202, Birkhäuser-Verlag, Basel-Boston, 2010, ix--xi (with J. A. Ball, V. Bolotnikov, J. W. Helton and L. Rodman).
  21. Preface and Introduction to Convolution Equations and Singular Integral Operators, Operator Theory: Advances and Applications 206, Birkhäuser-Verlag, Basel-Boston, 2010, vii--xxii (with L. Lerer and V. Olshevsky).
  22. Special types of Matrices, Handbook of Linear Algebra, 2nd edition, CRC Press, Boca Raton, FL, 2014, 22-1--22-20 (with A. Böttcher).
  23. Preface to the special LAA volume, Linear Algebra and its Applications 470 (2015), 1--3 (with J. Ball, J. Berhndt, and C. Mehl).
  24. The beginning (the way I remember it), Operator Theory: Advances and Applications 259 (2017), 41--46. MR 3644511.




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