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Topics in Interpolation Theory

  • H. Dym
  • V. Katsnelson
  • B. Fritzsche
  • B. Kirstein

Part of the Operator Theory Advances and Applications book series (OT, volume 95)

Table of contents

  1. Front Matter
    Pages I-XXII
  2. Harry Dym, Boris Freydin
    Pages 105-142
  3. Leonid Golinskii, Irina Mikhailova
    Pages 205-251
  4. V. E. Katsnelson, A. Ya. Kheifets, P. M. Yuditskii
    Pages 283-298
  5. Victor E. Katsnelson, Bernd Kirstein
    Pages 299-350
  6. I. V. Kovalishina
    Pages 351-359
  7. Irina V. Mikhailova, V. P. Potapov
    Pages 419-451
  8. Vladimir I. Smirnov
    Pages 481-494
  9. Back Matter
    Pages 495-498

About this book

Introduction

About one half of the papers in this volume are based on lectures which were pre­ sented at a conference at Leipzig University in August 1994, which was dedicated to Vladimir Petrovich Potapov. He would have been eighty years old. These have been supplemented by: (1) Historical material, based on reminiscences of former colleagues, students and associates of V.P. Potapov. (2) Translations of a number of important papers (which serve to clarify the Potapov approach to problems of interpolation and extension, as well as a number of related problems and methods) and are relatively unknown in the West. (3) Two expository papers, which have been especially written for this volume. For purposes of discussion, it is convenient to group the technical papers in this volume into six categories. We will now run through them lightly, first listing the major theme, then in parentheses the authors of the relevant papers, followed by discussion. Some supplementary references are listed at the end; OT72 which appears frequently in this volume, refers to Volume 72 in the series Operator Theory: Advances and Applications. It was dedicated to V.P. Potapov. 1. Multiplicative decompositions (Yu.P. Ginzburg; M.S. Livsic, I.V. Mikhailova; V.I. Smirnov).

Keywords

Applied Mathematics Finite Nevanlinna theory calculus complex analysis equation function functional analysis mathematics

Editors and affiliations

  • H. Dym
    • 1
  • V. Katsnelson
    • 1
  • B. Fritzsche
    • 2
  • B. Kirstein
    • 2
  1. 1.Department of Theoretical MathematicsThe Weizmann Institute of ScienceRehovotIsrael
  2. 2.Mathematisches InstitutUniversität LeipzigLeipzigGermany

Bibliographic information