Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations / Edition 1

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This volume contains a selection of papers, from experts in the area, on multidimensional operator theory. Topics considered include the non-commutative case, function theory in the polydisk, hyponormal operators, hyperanalytic functions, and holomorphic deformations of linear differential equations. Operator Theory, Systems Theory and Scattering Theory will be of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.

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Product Details

  • ISBN-13: 9783764372125
  • Publisher: Birkhauser Basel
  • Publication date: 3/22/2005
  • Series: Operator Theory: Advances and Applications Series, #157
  • Edition description: 2005
  • Edition number: 1
  • Pages: 312
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.75 (d)

Table of Contents

Functional Models for Representations of the Cuntz Algebra.- Relations on Non-commutative Variables and Associated Orthogonal Polynomials.- Functions of Several Variables in the Theory of Finite Linear Structures Part I: Analysis.- Operator Method for Solution of PDEs Based on Their Symmetries.- On the Bessmertny? Class of Homogeneous Positive Holomorphic Functions on a Product of Matrix Halfplanes.- Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions II.- Preservation of the Norms of Linear Operators Acting on Some Quaternionic Function Spaces.- Hardy Algebras Associated with W*-Correspondences (Point Evaluation and Schur Class Functions).- Notes on Generalized Lemniscates.- One-Sided Tangential Interpolation for Hilbert-Schmidt Operator Functions with Symmetries on the Bidisk.- Favard’s Theorem Modulo an Ideal.

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