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Orthogonal systems and convolution operators

Author: Robert Ellis; I Gohberg
Publisher: Basel ; Boston : Birkhäuser Verlag, ©2003.
Series: Operator theory, advances and applications, v. 140.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The main concern of this book is the distribution of zeros of polynomials that are orthogonal on the unit circle with respect to an indefinite weighted scalar or inner product. The first theorem of this type, proved by M.G. Krein, was a far-reaching generalization of G. Szegö's result for the positive definite case. A continuous analogue of that theorem was proved by Krein and H. Langer. These results, as well as  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Ellis, Robert, 1938-
Orthogonal systems and convolution operators.
Basel ; Boston : Birkhäuser Verlag, ©2003
(DLC) 2002038599
(OCoLC)50859128
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Robert Ellis; I Gohberg
ISBN: 9783034880459 3034880456
OCLC Number: 872656870
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011. MiAaHDL
Description: 1 online resource (xvi, 236 pages).
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: Ch. 1. Orthogonal Polynomials and Krein's Theorem --
Ch. 2. Reformulations of Krein's Theorem --
Ch. 3. Inner Products on Modules and Orthogonalization with Invertible Squares --
Ch. 4. Orthogonal Matrix Polynomials --
Ch. 5. Special Class of Block Toeplitz Matrices --
Ch. 6. Orthogonal Operator-Valued Polynomials: First Generalization.
Series Title: Operator theory, advances and applications, v. 140.
Responsibility: Robert L. Ellis, Israel Gohberg.

Abstract:

In this book we study orthogonal polynomials and their generalizations in spaces with weighted inner products. These ortho- gonal polynomials are called the Szego polynomials associated with the  Read more...

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