Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations

• Corporate Author: SpringerLink (Online service)
• Other Authors: Alpay, Daniel (Editor), Vinnikov, Victor (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2005.
• Series: Operator Theory: Advances and Applications ; 157
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functions of complex variables.; Operator theory.; Differential equations.; Analysis.; Operator Theory.; Functions of a Complex Variable.; Ordinary Differential Equations.

Operator theory, system theory, scattering theory, and the theory of analytic functions of one complex variable are deeply related topics, and the relationships between these theories are well understood. When one leaves the setting of one operator and considers several operators, the situation is m...

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.