Interpolation Theory and Its Applications: 428 (Mathematics and Its Applications, 428) - Image 1

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Springer Interpolation Theory and Its Applications: 428 (Mathematics and Its Applications, 428)

Name: Interpolation Theory and Its Applications: 428 (Mathematics and Its Applications, 428)
Brand: Springer
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Description

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.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 0792348303
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 30 November 1997
Listed Since: 15 December 2006

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Springer Interpolation Theory and Its Applications: 428 (Mathematics and Its Applications, 428)

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