Orthogonal Systems and Convolution Operators

Name: Orthogonal Systems and Convolution Operators
SKU: 5810843
Price: 239.99 AUD
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Hardback

Series:

Operator Theory: Advances and Applications

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Description

The main concern of this book is the distribution of zeros of polynomials that are othogonal 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 generalisation 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 generalisations and extensions are thoroughly treated in this work. 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 main 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 matrices and operators, and Fredholm and Wiener-Hopf operators, on the other hand. The work should be of interest to both engineers and specialists in analysis.

Release date Australia

November 21st, 2002

Author

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Country of Publication

Switzerland

Illustrations

2 black & white illustrations

Imprint

Birkhauser Verlag AG

Pages

245

Publisher

Birkhauser Verlag AG

Series

Operator Theory: Advances and Applications

ISBN-13

9783764369293

Product ID

5810843

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