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Operator Identities and Interpolation Problems

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Interpolation Theory and Its Applications

Part of the book series: Mathematics and Its Applications ((MAIA,volume 428))

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Abstract

During the last few years new fruitful methods for solving classical interpolation problems and their generalizations were found [1, 14, 27]. An essential contribution to the theory of interpolation problems was made by V.P.Potapov [44]–[46]. He developed a method reducing interpolation problems to the corresponding matrix inequalities, containing all information about the problem under investigation. However, while catching the general features of a wide variety of interpolation problems, V.P.Potapov’s method does not contain a description of this class and a precise procedure of passage from the problem in question to the corresponding inequality.

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© 1997 Kluwer Academic Publishers

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Sakhnovich, L.A. (1997). Operator Identities and Interpolation Problems. In: Interpolation Theory and Its Applications. Mathematics and Its Applications, vol 428. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0059-2_1

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  • DOI: https://doi.org/10.1007/978-94-009-0059-2_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6516-0

  • Online ISBN: 978-94-009-0059-2

  • eBook Packages: Springer Book Archive

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