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Interpolation Theory and Its Applications
Buch
Buch
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Fachbuch
1997

Interpolation Theory and Its Applications

Kollektion

Mathematics and Its Applications

ISBN
EAN
978-0-7923-4830-6
9780792348306
Artikel-Nr.
2W2LYDR
Kostenloser Versand
Rabatt
-13.3
%
CHF 122.00
CHF
105.73
Anzahl
1
Maximale
Lieferzeit
20
Arbeitstage
Montag
23.08.2021
speech-bubble-svg Beschreibung
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.
Inhaltsverzeichnis
Introduction. 1. Operator Identities and Interpolation Problems. 2. Interpolation Problems in the Unite Circle. 3. Hermitian-Positive Functions of Several Variables. 4. De Branges Spaces of Entire Functions. 5. Degenerate Problems (Matrix Case). 6. Concrete Interpolation Problems. 7. Extremal Problems. 8. Spectral Problems for Canonical Systems of Difference Equations. 9. Integrable Nonlinear Equations (Discrete Case). 10. On Semi-Infinite Toda Chain. 11. Functions with an Operator Argument. Commentaries and Remarks. Bibliography. Index.
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Herausgeber/-in
Zielgruppe
Research
Publikation
Niederlande
30.11.1997
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Sprache
Englisch
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Hardcover
197 Seiten
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