Operator Theory: Advances and Applications

Topics in Interpolation Theory

Editors: Fritzsche, Bernd, Katsnelson, Victor, Kirstein, Bernd (Eds.)

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About this book

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).

Table of contents (23 chapters)

Table of contents (23 chapters)
  • Vladimir Petrovich Potapov as remembered by colleagues, friends and former students

    Pages 1-18

    Livšic, Moshe

  • On a minimum problem in function theory and the number of roots of an algebraic equation inside the unit disc

    Pages 19-35

    Akhiezer, N. I.

  • On tangential interpolation in reproducing kernel Hilbert modules and applications

    Pages 37-68

    Alpay, Daniel (et al.)

  • Notes on a Nevanlinna-Pick interpolation problem for generalized Nevanlinna functions

    Pages 69-91

    Dijksma, Aad (et al.)

  • The indefinite metric in the Schur interpolation problem for analytic functions. IV

    Pages 93-104

    Dubovoj, V. K.

Buy this book

eBook $74.99
price for USA in USD
  • ISBN 978-3-0348-8944-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA in USD
  • ISBN 978-3-0348-9838-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Topics in Interpolation Theory
Editors
  • Bernd Fritzsche
  • Victor Katsnelson
  • Bernd Kirstein
Series Title
Operator Theory: Advances and Applications
Series Volume
95
Copyright
1997
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-8944-5
DOI
10.1007/978-3-0348-8944-5
Softcover ISBN
978-3-0348-9838-6
Series ISSN
0255-0156
Edition Number
1
Number of Pages
XXII, 498
Topics