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Schur Parameters, Factorization and Dilation Problems (Hardcover) Loot Price: R1,482 Discovery Miles 14 820
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Schur Parameters, Factorization and Dilation Problems (Hardcover): Tiberiu Constantinescu
Schur Parameters, Factorization and Dilation Problems (Hardcover): Tiberiu Constantinescu

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Schur Parameters, Factorization and Dilation Problems (Hardcover)

Tiberiu Constantinescu

Series: Operator Theory: Advances and Applications, v. 82

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Loot Price R1,482 Discovery Miles 14 820

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The subject of this book is about the ubiquity of the Schur parameters, whose introduction goes back to a paper of I. Schur in 1917 concerning an interpolation problem of C. Caratheodory. What followed there appears to be a truly fascinating story which, however, should be told by a professional historian. Here we provide the reader with a simplified version, mostly related to the contents of the book. In the twenties, thf~ theory of orthogonal polynomials on the unit circle was developed by G. Szego and the formulae relating these polynomials involved num- bers (usually called Szego parameters) similar to the Schur parameters. Mean- while, R. Nevanlinna and G. Pick studied the theory of another interpolation problem, known since then as the Nevanlinna-Pick problem, and an algorithm similar to Schur's one was obtained by Nevanlinna. In 1957, Z. Nehari solved OO an L problem which contained both Caratheodory-Schur and Nevannlina-Pick problems as particular cases. Apparently unrelated work of H. Weyl, J. von Neu- mann and K. Friedericks concerning selfadjoint extensions of symmetric operators was connected to interpolation by M. A. Naimark and M. G Krein using some gen- eral dilation theoretic ideas. Classical moment problems, like the trigonometric moment and Hamburger moment problems, were also related to these topics and a comprehensive account of what can be called the classical period has appeared in the monograph of M. G. Krein and A. A. Nudelman, [KN].

General

Imprint: Birkhauser Verlag AG
Country of origin: Switzerland
Series: Operator Theory: Advances and Applications, v. 82
Release date: April 1996
First published: April 2002
Authors: Tiberiu Constantinescu
Dimensions: 240mm (L)
Format: Hardcover
Pages: 254
ISBN-13: 978-3-7643-5285-1
Barcode: 9783764352851
Categories: Promotions
Books > Science & Mathematics > Mathematics > Algebra
Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN: 3-7643-5285-X

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