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Mathematics and Its Applications

Interpolation Theory and Its Applications

Authors: Sakhnovich, Lev A.

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About this book

1. Interpolation problems play an important role both in theoretical and applied investigations. This explains the great number of works dedicated to classical and new interpolation problems ([1)-[5], [8), [13)-[16], [26)-[30], [57]). In this book we use a method of operator identities for investigating interpo­ lation problems. Following the method of operator identities we formulate a general interpolation problem containing the classical interpolation problems (Nevanlinna­ Pick, Caratheodory, Schur, Humburger, Krein) as particular cases. We write down the abstract form of the Potapov inequality. By solving this inequality we give the description of the set of solutions of the general interpolation problem in the terms of the linear-fractional transformation. Then we apply the obtained general results to a number of classical and new interpolation problems. Some chapters of the book are dedicated to the application of the interpola­ tion theory results to several other problems (the extension problem, generalized stationary processes, spectral theory, nonlinear integrable equations, functions with operator arguments). 2. Now we shall proceed to a more detailed description of the book contents.

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-94-009-0059-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-0-7923-4830-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $84.99
price for USA in USD
  • ISBN 978-94-010-6516-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Interpolation Theory and Its Applications
Authors
Series Title
Mathematics and Its Applications
Series Volume
428
Copyright
1997
Publisher
Springer Netherlands
Copyright Holder
Kluwer Academic Publisher
eBook ISBN
978-94-009-0059-2
DOI
10.1007/978-94-009-0059-2
Hardcover ISBN
978-0-7923-4830-6
Softcover ISBN
978-94-010-6516-0
Edition Number
1
Number of Pages
XVIII, 197
Topics