Orthogonal systems and convolution operators /

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 p...

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Bibliographic Details
Main Author: Ellis, Robert, 1938-
Corporate Author: SpringerLink (Online service)
Other Authors: Gohberg, I. (Israel), 1928-2009
Format: eBook
Language:English
Published: Basel ; Boston : Birkhäuser Verlag, [2003]
Series:Operator theory, advances and applications ; v. 140.
Subjects:
Online Access:Connect to the full text of this electronic book
Table of 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