ORTHOGONAL SYSTEMS AND CONVOLUTION OPERATORS

Ellis, Robert L. and Gohberg, Israel

ISBN 10: 3764369299 / ISBN 13: 9783764369293

Published by Birkhauser Verlag, Basel, Boston, Berlin, 2003

Octavo, xvi, 236 pages. In Very Good condition. Spine green/black with white lettering. Boards have minimal wear with mild tilt to the spine. Text block has faint finger marks to the edges. Illustrated. First Printing. Inscription by "Bob" to the front end paper. 1370517. FP New Rockville Stock. Seller Inventory # 1370517

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. Szego'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.

Bibliographic Details

Title: ORTHOGONAL SYSTEMS AND CONVOLUTION OPERATORS
Publisher: Birkhauser Verlag, Basel, Boston, Berlin
Publication Date: 2003
Binding: Hardcover
Edition: First Printing.