Orthogonal Systems and Convolution Operators

Name: Orthogonal Systems and Convolution Operators
Brand: Springer, Basel
SKU: 9783764369293
Price: 498.13 RON
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Autor: R Ellis, Israel C. Gohberg

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Legare: Copertă tare

Editura: Springer, Basel

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The main concern of this book is the distribution of zeros of polynomials that are orthogonal on the...

Informații despre carte

Autor

R Ellis, Israel C. Gohberg

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2003

Pagini

238

EAN

9783764369293

Enbook ID

05289204

Editura

Springer, Basel

Greutate

606

Dimensiuni

235

Descriere completă

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.

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Orthogonal Systems and Convolution Operators

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