Vladimir Bolotnikov, Department of Mathematics

Jones Hall Room 110, College of William and Mary,
P.O.Box 8795, Williamsburg, Virginia 23187-8795, USA
Tel: (757) 221-2009, Fax: (757) 221-2988, E-mail: vladi@math.wm.edu

Education and Current Position:

• Ph.D. (1996). Ben-Gurion University of the Negev.
• Associate Professor of Mathematics, Department of Mathematics .

Teaching:

• Course information:
• Math 211 Linear Algebra
• Math 416 Topics in Geometry

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Research:

• General areas: Operator Theory, Complex Analysis, Matrix Analysis.
• Publications:
• Refereed Research Papers .
• Other Publications

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PS and PDF files of some papers :

• On degenerate Hamburger moment problem and extensions of nonnegative Hankel matrices. Integral Equations Operator Theory, 25 (1996), No. 3, 253--276 (revised version). pdf file
• On some general moment problem on the half--axis. Linear Algebra Appl., 255 (1997), 57--112. ps file
• 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) ps file
• On an operator approach to interpolation problems for Stieltjes functions. Integral Equations Operator Theory, 35(1999), No. 4, 423--470 (with L. A. Sakhnovich) ps file
• A boundary Nevanlinna-Pick problem for a class of analytic matrix-valued functions in the unit ball, Linear Algebra Appl. 346 (2002), 239-260. pdf file
• A tangential interpolation problem on the distinguished boundary of the polydisk for the Schur-Agler class. J. Math. Anal. Appl. 273 (2002), no. 2, 328--348 (with J. A. Ball). pdf file
• Interpolation for multipliers on reproducing kernel Hilbert spaces. Proc. Amer. Math. Soc. 131 (2003), no. 5, 1373--1383. pdf file ps file
• 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) pdf file
• Positive extension problems for a class of structured matrices, Linear Algebra Appl. 381 (2004), 165-195 (with P. A. Smith). pdf file
• Nevanlinna-Pick interpolation: Pick matrices have bounded number of negative eigenvalues, Proc. Amer. Math. Soc. 132 (2004), 769-780 (with A. Kheifets; L. Rodman) pdf file ps file
• On Caratheodory--Fejer problem for generalized Schur functions, to appear in Integral Equations Operator Theory. pdf file
• Realization and interpolation for Schur-Agler-class functions on domains with matrix polynomial defining function in C^n, to appear in J. Funct. Anal. (with J. A. Ball) pdf file
• Boundary interpolation for contractive-valued functions on circular domains in C^n, to appear in Operator Theory: Advances and Applications (with J. A. Ball). pdf file

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