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.

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Dati bibliografici

Titolo

ORTHOGONAL SYSTEMS AND CONVOLUTION OPERATORS

Editore

Birkhauser Verlag, Basel, Boston, Berlin

Data di pubblicazione

2003

Lingua

Inglese

ISBN 10

3764369299

ISBN 13

9783764369293

Rilegatura

Hardcover

Edizione

First Printing.

Cataloghi dei venditori

Sciences, Math, Medicine, & Natural History

Descrizione articolo

Riassunto

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. Szeg�'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.

Product Description

Book by Ellis Robert L Gohberg Israel

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