[E-mail: vladi@math.wm.edu | Home | Math Home ]
Updated on August, 2009.
{1} Description of solutions of a degenerate moment problem on the axis and the half-axis, Teor. Funktsii Funktsional. Anal. i Prilozhen., 50 (1988), 25-31.
{2} Two sided interpolation problems for a class of analytic functions, Z. Anal. Anwendungen, 12 (1993), No. 2, 211-238 (with D. Alpay).
{3} On some operator colligations and associated reproducing kernel Hilbert spaces, Oper. Theory Adv. Appl., 61 (1993), 1-27 (with D. Alpay, A. Dijksma and H. de Snoo).
{4} Two-sided Nevanlinna-Pick problem in the Stieltjes class, Oper. Theory Adv. Appl., 62 (1993), 15-37.
{5} On a class of functions analytic in a half disk and an associated interpolation problem, J. Math. Anal. Appl., 182 (1994), No.1, 1-22 (with D. Alpay).
{6} On a general moment problem and certain matrix equations, Linear Algebra Appl., 203/204 (1994), 3-43 (with D. Alpay).
{7} Tangential Carath\'{e}odory-Fejer interpolation for Stieltjes functions at real points, Z. Anal. Anwendungen, 13 (1994), No. 1, 111-136.
{8} The Carath\'eodory-F\'ejer interpolation problem in Hardy spaces, Z. Anal. Anwendungen, 13 (1994), No.4, 583-597 (with D. Alpay).
{9} On tangential interpolation of $H_2$ functions, Trans. Amer. Math. Soc., 347 (1995), 675-686 (with D. Alpay and Y. Peretz).
{10} Degenerate Stieltjes matrix moment problem and associated $J$-inner polynomials, Z. Anal. Anwendungen, 14 (1995), No. 3, 441-468.
{11} Two-sided interpolation for matrix functions with entries in the Hardy space, Linear Algebra Appl., 223/224 (1995), 31-56 (with D. Alpay).
{12} Classes of pairs of meromorphic matrix functions generated by positive kernels and associated Nevanlinna-Pick problem, Integral Equations Operator Theory, 23 (1995), No. 3, 245-267 (with D. Alpay).
{13} An interpolation problem with symmetry and related questions, Z. Anal. Anwendungen, 15 (1996), No. 1, 19-29 (with D. Alpay and P. Loubaton).
{14} On degenerate Hamburger moment problem and extensions of nonnegative Hankel matrices, Integral Equations Operator Theory, 25 (1996), No. 3, 253-276.
{15} On some operator colligations and associated reproducing kernel Pontryagin spaces, J. Funct. Anal., 136, (1996), No. 1, 39-80 (with D. Alpay, A. Dijksma and H. de Snoo).
{16} On tangential ${\bf H}_2$ interpolation with second order norm constaints, Integral Equations Operator theory, 24 (1996), No. 2, 156-178 (with D. Alpay and P. Loubaton).
{17} On two-sided residue interpolation for matrix-valued $H_2$-functions with symmetries.} J. Math. Anal. Appl., 200 (1996), No. 1, 76-105 (with D. Alpay and P. Loubaton).
{18} On some general moment problem on the half-axis, Linear Algebra Appl., 255 (1997), 57-112.
{19} Dissipative periodic systems and symmetric interpolation in the Schur class, Archiv Math. (Basel), 68 (1997), No. 5, 371-387 (with D. Alpay and P. Loubaton).
{20} On tangential interpolation in Hilbert space modules and some applications, Oper. Theory Adv. Appl., 95 (1997), 37-68 (with D. Alpay).
{21} On interpolation for Hardy functions in a certain class of domains under moment type constraints, Houston J. Math., 23, No. 3 (1997), 539-571 (with D. Alpay and P. Loubaton).
{22} On a new positive completion problem for Toeplitz block matrices, Linear Algebra Appl., 268 (1998), 247-287 (with D. Alpay and P. Loubaton).
{23} On the Nevanlinna-Pick problem for generalized Stieltjes functions, Integral Equations Operator Theory, 30 (1998), No. 4, 379-408 (with D. Alpay and A. Dijksma).
{24} On Two-Sided Interpolation for Upper Triangular Hilbert-Schmidt Operators, Integral Equations Operator Theory, 31 (1998), No. 3, 259-286 (with D. Alpay).
{25} On tangential interpolation with symmetries and multipoint interpolation problem for matrix-valued Hardy functions, Integral Equations Operator Theory, 32 (1998), No. 1, 1-28 (with D. Alpay and L. Rodman).
{26} Hilbert spaces contractively included in the Hardy space of the bidisk, C. R. Acad. Sci. Paris Ser. I Math. 326 (1998), No. 12, 1365-1370 (with D. Alpay, A. Dijksma, J. Rovnyak and C. Sadosky).
{27} On degenerate interpolation, maximum entropy and extremal problems for matrix Schur functions, Integral Equations Operator Theory, 32 (1998), No. 4, 367-435 (with H. Dym).
{28} On Bitangential Interpolation in the Time Varying Setting for Hilbert Schmidt Operators: the continuous time case, J. Math. Anal. Appl., 228 (1998), No. 2, 275-292 (with D. Alpay, B. Freydin and Y. Peretz).
{29} On tangential interpolation problem for matrix-valued ${\bf H}_2$-functions of two variables}. Proc. Amer. Math. Soc., {\bf 127} (1999), No. 6, 1789-1799 (with D. Alpay).
{30} Carath\'eodory-F\'ejer problem for pairs of meromorphic functions, Math. Nachr. 199 (1999), 17-69 (with D. Alpay).
{31} One-sided tangential interpolation for operator-valued Hardy functions on polydisks, Integral Equations Operator Theory, 35 (1999), No. 3, 253-270 (with D. Alpay and L. Rodman).
{32} Normal forms and joint numerical range of doubly commuting matrices, Linear Algebra Appl., 301 (1999), 187-194 (with L. Rodman).
{33} On an operator approach to interpolation problems for Stieltjes functions, Integral Equations Operator Theory, 35 (1999), No. 4, 423-470 (with L. A. Sakhnovich).
{34} On two-sided interpolation for upper triangular matrices, Electron. J. Linear Algebra, 6 (1999/2000), 31-55 (with D. Alpay).
{35} Sections de Brune en th\'eorie des syst\`emes non stationnaires, C. R. Acad. Sci. Paris Ser. I Math., 330 (2000), 173-178 (with D. Alpay, P. Dewilde and A. Dijksma).
{36} On the bitangential interpolation problem for contractive valued functions in the polydisk. J. Oper. Theory 44 (2000), 277-301 (with D. Alpay, and J. Ball).
{37} Hilbert spaces contractively included in the Hardy space of the bidisk. Positivity, 5 (2001), 25-50 (with D. Alpay, A. Dijksma and C. Sadosky).
{38} A coisometric realization for triangular integral operators. Oper. Theory Adv. Appl., 122 (2001), 13-52 (with D. Alpay, A. Dijksma and Y. Peretz).
{39} Minimal distortion problems for classes of unitary matrices. Electron. J. Linear Algebra 8 (2001), 26-46 (with C.-K. Li and L. Rodman).
{40} On the second order interpolation for rational vector functions. Oper. Theory Adv. Appl. 123 (2001), 139-159.
{41} On positivity of analytic matrix functions in polydisks. Linear Algebra Appl., 328 (2001), 69--94 (with L. Rodman).
{42} Positive extension and completion problems for a class of structured matrices. Linear and Multilinear Algebra, 48 (2001), 189--235 (with L. Rodman).
{43} Two--sided tangential interpolation for Hilbert--Schmidt operator functions on polydisks. Oper. Theory Adv. Appl. 124 (2001), 63--87 (with D. Alpay and L. Rodman)
{44} The Schur algorithm and reproducing kernel Hilbert spaces in the ball. Linear Algebra Appl. 342 (2002), 163--186 (with D. Alpay and H.~T.~Kaptano\u{g}lu).
{45} Brune sections in the nonstationary case. Linear Algebra Appl. 343-344 (2001), 389-418 (with D. Alpay, P. Dewilde, and A. Dijksma)
{46} A boundary Nevanlinna--Pick problem for a class of analytic matrix-valued functions in the unit ball, Linear Algebra Appl. 346 (2002), 239-260.
{47} Some extensions of Loewner's theorem on monotone matrix functions, J. Funct. Anal. 189 (2002), 1-20 (with D. Alpay, A. Dijksma and J. Rovnyak).
{48} Finite dimensional backward shift invariant subspaces of Arveson spaces}, Linear Algebra Appl., 349 (2002), 265-282 (with L. Rodman).
{49} Two-sided Residue Interpolation in Matrix $H_2$ Spaces with Symmetries: Conformal Conjugate Involutions}, Linear Algebra Appl., 351/352 (2002), 27--68 (with D. Alpay and L. Rodman).
{50} Shells of matrices in indefinite inner product, Electron. J. Linear Alg. 9 (2002), 67--92 (with C.-K. Li, P. Meade, C. Mehl and L. Rodman).
{51} Nonstationary analogues of the Herglotz representation theorem: the discrete unbounded case, Archiv Math. 78 (2002), 465--474 (with D. Alpay, A. Dijksma, and B. Freydin).
{52} On a bitangential interpolation problem for contractive valued functions on the unit ball, Linear Algebra Appl. 353 (2002), 107--147 (with J. A. Ball).
{53} An interpolation problem on the distinguished boundary of the polydisk for Schur--Agler functions, J. Math. Anal. Appl. 273 (2002), no. 2, 328--348. (with J. A. Ball).
{54} Interpolation for multipliers on reproducing kernel Hilbert spaces, Proc. of the Amer. Math. Soc. 131 (2003), 1373-1383.
{55} Pairs of functions with indefinite Pick matrices, Linear Algebra Appl., 367 (2003), 271-290 (with A. Kheifets and L. Rodman).
{56} Functions with Pick matrices having bounded number of negative eigenvalues, Contemporary Mathematics, 323 (2003), 393--417 (with A. Kheifets and L. Rodman).
{57} A bitangential interpolation problem on the closed unit ball for multipliers of the Arveson space, Integral Equations Operator Theory 46 (2003), 125-164 (with J. A. Ball).
{58} Krein--Langer factorization via pole triples, Integral Equations Operator Theory 47 (2003), no. 2, 169--195 (with L. Rodman).
{59} Nevanlinna--Pick interpolation: Pick matrices have bounded number of negative eigenvalues Proc. Amer. Math. Soc. 132 (2004), 769-780 (with A. Kheifets and L. Rodman).
{60} Positive extension problems for a class of structured matrices}, Linear Algebra Appl. 281 (2004), 165--195 (with P. A. Smith)
{61} Remarks on interpolation in reproducing kernel Hilbert spaces, Houston J. Math. 30 (2004), no. 2, 559-576 (with L. Rodman)
{62} Finite dimensional backward shift invariant subspaces of some classes of reproducing kernel Hilbert spaces, Linear Multilinear Algebra, 52 (2004), 221-334 (with L. Rodman).
{63} Boundary interpolation for contractive-valued functions on circular domains in C^n, Operator Theory: Advances and Applications OT 149, 107-132 (with J. A. Ball).
{64} Realization and interpolation for Schur-Agler-class functions on domains with matrix polynomial defining function in C^n}, J. Funct. Anal. 213 (2004), 45--87 (with J. A. Ball).
{65} On Caratheodory--Fejer problem for generalized Schur functions, Integral Equations Operator Theory, 50 (2004), no.1, 9-41.
{66} Operator valued jet functions with positive Carath\'{e}odory--Pick operators}, Integral Equations Operator Theory, 50 (2004), no. 3, 291--304 (with A. Kheifets and L. Rodman).
{67} Jet functions having indefinite Carath\'{e}odory--Pick matrices, Linear Algebra Appl., 385 (2004), 215--286 (with A. Kheifets and L. Rodman).
{68} Interpolation problems with operator argument for contractive-valued functions on general domains in C^n, New York J. 11 (2005), 247--290 (with J. A. Ball).
{69} Boundary Nevanlinna--Pick interpolation problems for generalized Schur functions}, Operator Theory: Advances and Applications OT 165 (2006), 67--119 (with A. Kheifets).
{70} On boundary interpolation for matrix Schur functions}, Mem. Amer. Math. Soc. 181 (2006), no. 856 (with H. Dym).
{71} A higher multiplicity analogue of the Carath\'eodory--Julia theorem}, J. Funct. Anal. 237 (2006), no. 1, 350--371 (wth A. Kheifets).
{72} On negative inertia of Pick matrices associated with generalized functions, Integral Equations Operator Theory 56 (2006), no. 3, 323--355 (with A. Kheifets).
{73} Multivariable backward-shift-invariant subspaces and observability operators, Multidimens. Syst. Signal Process. 18 (2007), no. 4, 191--248 (with J. A. Ball and Q. Fang).
{74} Schur-class multipliers on the Fock space: de Branges-Rovnyak reproducing kernel spaces and transfer-function realizations, in: Operator Theory, structured matrices and dilations, pp. 85--114, Theta, Bucharest, 2007 (with J. A. Ball and Q. Fang).
{75} Transfer-function realization for multipliers of the Arveson space, J. Math. Anal. Appl. 333 (2007), no. 1, 68--92 (with J. A. Ball and Q. Fang).
{76} Interpolation in the noncommutative Schur-Agler class, J. of Operator Theory 58 (2007), no. 1, 83--126 (with J. A. Ball).
{77} The higher order Carath\'eodory--Julia theorem and related boundary interpolation problems, Operator Theory: Advances and Applications OT 179 (2007), 63--102 (with A. Kheifets)
{78} A uniqueness result on boundary interpolation, Proc. Amer. Math. Soc. 136 (2008), no. 5, 1705-1715.
{79} Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations, J. Math. Anal. Appl. 341 (2008), 519--539 (with J. A. Ball and Q. Fang).
{80} A boundary analogue of the Carath\'eodory-Schur interpolation problem}, Proc. Amer. Math. Soc. 136 (2008), no. 9, 3121-3131.
{81} Interpolation problems for Schur multipliers on the Drury-Arveson space: from Nevanlinna-Pick to Abstract Interpolation Problem, Integral Equations Operator Theory 62 (2008), no. 3, 301-349 (with J. A. Ball).
{82} Carath\'eodory--Julia type theorems for operator valued Schur functions, J. d'Analyse Mathematique 106 (2008), 237--270 (with A. Kheifets).
{83} Nevanlinna--Pick meromorphic interpolation: the degenerate case and minimal norm solutions, J. Math. Anal. Appl. 353 (2009), 642-651.
{84} On boundary angular derivatives of an analytic self-map of the unit disk, C. R. Acad. Sci. Paris, Ser. I, 347 (2009), 227--230.
{85} Boundary rigidity for a class of meromorphic functions on the unit disk, Operators and Matrices 3 (2009), no. 2, 283--301.
{86} Carath\'eodory-Julia type conditions and symmetries of boundary asymptotics for analytic functions on the unit disk, Math. Nachr. 282 (2009), no. 11, 1513-1536 (with A. Kheifets)
{87} On a multi-point interpolation problem for generalized Schur functions, Oper. Theory Adv. Appl. 195 (2009), 83--101.
{88} On inertia of certain structured Hermitian matrices, in: Numerical Methods for Structured Matrices and Applications. The Georg Heinig memorial volume, Operator Theory: Adv. Appl., 199, pp. 175--190, Birkh\"auser, 2010.
{89} A multi-point degenerate interpolation problem for generalized Schur functions}, Operators and Matrices 4 (2010), no. 2, 151--191.
{90} An algorithm for finding low degree rational solutions of the Schur coefficient problem, Functiones et Approximatio 42 (2010), no. 1, 37--51.
{91} A constrained Nevanlinna-Pick interpolation problem for matrix-valued functions}, Indiana Math. J. 59 (2010), no. 1, 15-52 (with J.A. Ball and S. ter Horst).
{92} Canonical de Branges-Rovnyak model transfer-function realization for multivariable Schur-class functions, in: Hilbert spaces of analytic functions, CRM Proceedings and Lecture Notes 51 (2010), 1--40 (with J.A. Ball).
{93} Interpolation in de Branges-Rovnyak spaces, Proc. Amer. Math. Soc. 139 (2011), 609-618 (with J.A. Ball and S. ter Horst).
{94} Multi-point degenerate interpolation problem for generalized Schur functions: description of all solutions, Comput. Methods Funct. Theory 11 (2011), no 1, 143-160.
{95} On a certain generalization of the Denjoy-Wolff theorem, Bulletin of the Belgian Math. Soc. 18 (2011), 311--319.
{96} On zeros of certain analytic functions, Integral Equations Operator Theory 69 (2011), no. 2, 203-215.
{97} Abstract interpolation in vector-valued de Branges-Rovnyak spaces, Integral Equations Operator Theory 70 (2011), 227--268 (with J.A. Ball and S. ter Horst).
{98} On a boundary analog of the Carath\'eodory-Schur interpolation problem, J. of Approx. Theory. 163 (2011), no. 4, 568--589.
{99} Canonical transfer-function realization for Schur-Agler-class functions of the polydisk, Oper. Theory Adv. Appl. 218 (2012), 75--123 (with J.A. Ball)
{100} Canonical transfer-function realization for Schur-Agler-class functions on domains with matrix polynomial defining function in ${\bf C}^n$, Oper. Theory Adv. Appl. 220 (2012), 23--57 (with J.A. Ball).
{101} Boundary asymptotic expansions of analytic self-maps of the unit disk, Rev. Iberamer. 29 (2013), no. 1, 357--371 (with N. Zobin)
{102} Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions, Indiana University Math. J. 61 (2012), no. 2, 665--716. (with J.A. Ball).
{103} Inequalities for angular derivatives and boundary interpolation, Anal. Math. Phys. 3 (2013), no. 1, 63--96 (with M.Elin and D. Shoikhet)
{104} The Nevanlinna-Pick problem on the closed unit disk: minimal norm rational solutions of low degree. J. Comput. Appl. Math. 236 (2012), no. 13, 3123--3136 (with S. Cameron).
{105} Boundary angular derivatives of generalized Schur functions, J. Aust. Math. Soc. 93 (2013), no. 3, 203--224 (with T. Wang and J. Weiss).
{106} Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems}, Integral Equations Operator Theory 76 (2013), 351--356 (with J.A. Ball)
{1} Device for trial of the conveying tags, Certificate of authority # 738981 (USSR), Bulletin of Inventions, vol. 21 (1980) (with A. Bolotnikov).
{2} Device for trial of shroud elements, Certificate of authority # 1025641 (USSR), Bulletin of Inventions, vol. 24 (1983) (with A. Bolotnikov).
{3} Integral representations of the positive definite kernels of the form $k(t,s)=h(t+s)+f(t-s)$, Ukr.NIINTI, manuscript # 1307 (1984).
{4} Integral representations of a class of descrete positive definite kernels, Ukr.NIINTI, manuscript # 2093 (1985).
{5} Parametrization of the $J$-elementary multiple factor of incomplete rank with the pole at the boundary of a domain, Ukr.NIINTI, manuscript # 2097 (1985).
{6} Schur algorithm for degenerate matrix moment problems, Ukr.NIINTI, manuscript # 1097 (1987)
{7} On bitangential interpolation problem in the Stieltjes class, VINITI, manuscript # 3848 (1989).
{8} Bitangential Carath\'eodory-F\'ejer problem in the Stieltjes class, VINITI, manuscript # 2478 (1990).