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Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory

A Volume in Honor of V.E. Katsnelson

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  • © 2020

Overview

Editors:
  1. Daniel Alpay

    1. Department of Mathematics, Chapman University, Orange, USA

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  2. Bernd Fritzsche

    1. Mathematisches Institut, Universität Leipzig, Leipzig, Germany

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  3. Bernd Kirstein

    1. Mathematisches Institut, Universität Leipzig, Leipzig, Germany

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  • Dedicated to Victor Emmanuilovich Katsnelson
  • Contains papers in function theory, Schur analysis, non-commutative analysis and linear operators and linear relations
  • Presents contributions of Victor E. Katsnelson's present and former colleagues

Part of the book series: Operator Theory: Advances and Applications (OT, volume 280)

Part of the book sub series: Linear Operators and Linear Systems (LOLS)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-vi
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  2. Editorial Introduction

    • Daniel Alpay, Bernd Fritzsche, Bernd Kirstein
    Pages 1-8

  4. Scientific Papers

    1. Front Matter

      Pages 77-77
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    2. Interpolation by Contractive Multipliers Between Fock Spaces

      • Joseph A. Ball, Vladimir Bolotnikov
      Pages 79-138

    3. Regular Extensions and Defect Functions of Contractive Measurable Operator-Valued Functions

      • S. S. Boiko, V. K. Dubovoy
      Pages 139-228

    4. Free-Homomorphic Relations Induced by Certain Free Semicircular Families

      • Ilwoo Cho, Palle Jorgensen
      Pages 229-285

    5. Self-Adjoint Extensions of a Symmetric Linear Relation with Finite Defect: Compressions and Straus Subspaces

      • Aad Dijksma, Heinz Langer
      Pages 287-325

    6. On Conditions of Complete Indeterminacy for the Matricial Hamburger Moment Problem

      • Yu. M. Dyukarev
      Pages 327-353

    7. On a Blaschke-Type Condition for Subharmonic Functions with Two Sets of Singularities on the Boundary

      • S. Favorov, L. Golinskii
      Pages 355-375

    8. Exponential Taylor Domination

      • Omer Friedland, Gil Goldman, Yosef Yomdin
      Pages 377-386

    9. A Closer Look at the Solution Set of the Truncated Matricial Moment Problem

      • Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
      Pages 387-492

    10. A Class of Sectorial Relations and the Associated Closed Forms

      • Seppo Hassi, H. S. V. de Snoo
      Pages 493-514

    11. Spectral Decompositions of Selfadjoint Relations in Pontryagin Spaces and Factorizations of Generalized Nevanlinna Functions

      • Seppo Hassi, Hendrik Luit Wietsma
      Pages 515-534

    12. Martin Functions of Fuchsian Groups and Character Automorphic Subspaces of the Hardy Space in the Upper Half Plane

      • A. Kheifets, P. Yuditskii
      Pages 535-581
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Keywords

About this book

This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing close research contacts with the Schur analysis group in Leipzig, a collaboration that still continues today.

Reflecting these three periods in Victor Emmanuilovich's career, present and former colleagues have contributed to this book with research inspired by him and presentations on their joint work. Contributions include papers in function theory (Favorov-Golinskii, Friedland-Goldman-Yomdin, Kheifets-Yuditskii) , Schur analysis, moment problems and related topics (Boiko-Dubovoy, Dyukarev, Fritzsche-Kirstein-Mädler), extension of linear operators and linear relations (Dijksma-Langer, Hassi-de Snoo, Hassi -Wietsma) and non-commutative analysis (Ball-Bolotnikov, Cho-Jorgensen).


Editors and Affiliations

  • Department of Mathematics, Chapman University, Orange, USA

    Daniel Alpay

  • Mathematisches Institut, Universität Leipzig, Leipzig, Germany

    Bernd Fritzsche, Bernd Kirstein

Bibliographic Information

  • Book Title: Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory

  • Book Subtitle: A Volume in Honor of V.E. Katsnelson

  • Editors: Daniel Alpay, Bernd Fritzsche, Bernd Kirstein

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-030-44819-6

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-44818-9Published: 19 September 2020

  • Softcover ISBN: 978-3-030-44821-9Published: 20 September 2021

  • eBook ISBN: 978-3-030-44819-6Published: 19 September 2020

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: VI, 581

  • Number of Illustrations: 10 b/w illustrations, 24 illustrations in colour

  • Topics: Operator Theory

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