Name: orthogonal systems and convolution operators (en Inglés)
SKU: 3410315
Price: 95.84 USD
Availability: InStock
Author: ellis,gohberg

portada orthogonal systems and convolution operators (en Inglés)

orthogonal systems and convolution operators (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

ellis,gohberg

Idioma

Inglés

N° páginas

236

ISBN

3764369299

ISBN13

9783764369293

Categorías

Cálculo

orthogonal systems and convolution operators (en Inglés)

Ellis,Gohberg (Autor) · Springer · Libro Físico

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Reseña del libro "orthogonal systems and convolution operators (en Inglés)"

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. szegös 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.