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Operator Theory: Advances and Applications
cover

Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations

Editors: Alpay, Daniel, Vinnikov, Victor (Eds.)

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Hardcover $179.99
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About this book

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 much more involved. There is no longer a single underlying theory, but rather different theories, some of them loosely connected and some not connected at all. These various theories, which one could call "multidimensional operator theory", are topics of active and intensive research.
The present volume contains a selection of papers in 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.
The volume will be of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.

Table of contents (11 chapters)

Table of contents (11 chapters)
  • Functional Models for Representations of the Cuntz Algebra

    Pages 1-60

    Ball, Joseph A. (et al.)

  • Relations on Non-commutative Variables and Associated Orthogonal Polynomials

    Pages 61-90

    Banks, T. (et al.)

  • Functions of Several Variables in the Theory of Finite Linear Structures Part I: Analysis

    Pages 91-106

    Bessmertnyĭ, M.

  • Operator Method for Solution of PDEs Based on Their Symmetries

    Pages 107-137

    Eidelman, Samuil D. (et al.)

  • On the Bessmertnyĭ Class of Homogeneous Positive Holomorphic Functions on a Product of Matrix Halfplanes

    Pages 139-164

    Kalyuzhnyĭ-Verbovetzkiĭ, Dmitry S.

Buy this book

eBook $139.00
price for USA in USD (gross)
  • ISBN 978-3-7643-7303-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-7643-7212-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations
Editors
  • Daniel Alpay
  • Victor Vinnikov
Series Title
Operator Theory: Advances and Applications
Series Volume
157
Copyright
2005
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-7303-0
DOI
10.1007/b137040
Hardcover ISBN
978-3-7643-7212-5
Series ISSN
0255-0156
Edition Number
1
Number of Pages
XVI, 312
Topics