Orthogonal Systems and Convolution Operators (Operator Theory: Advances and Applications)

Ellis, Robert L.,Gohberg, Israel

ISBN 10: 3764369299 / ISBN 13: 9783764369293

Published by Birkhäuser, 2003

About this Item

no dust jacket as issued No dust jacket. Very Good hardcover with light shelfwear - NICE! Standard-sized.

Seller Inventory # mon0000117709

Bibliographic Details

• Title: Orthogonal Systems and Convolution Operators (Operator Theory: Advances and Applications)
• Publisher: Birkhäuser
• Publication Date: 2003
• Language: English
• ISBN 10: 3764369299
• ISBN 13: 9783764369293
• Binding: Hardcover
• Condition: Very Good

About this title

Synopsis

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 many generalizations and extensions, are thoroughly treated in this book. A unifying theme is the general problem of orthogonalization with invertible squares in modules over C*-algebras. Particular modules that are considered in detail include modules of matrices, matrix polynomials, matrix-valued functions, linear operators, and others. One of the central features of this book is the interplay between orthogonal polynomials and their generalizations on the one hand, and operator theory, especially the theory of Toeplitz marices and operators, and Fredholm and Wiener-Hopf operators, on the other hand. The book is of interest to both engineers and specialists in analysis.