Name: orthogonal systems and convolution operators
SKU: 3410315
Price: 3072.00 TWD
Availability: InStock
Author: ellis,gohberg

Select your country

Americas

Europe

Rest of the world

portada orthogonal systems and convolution operators

orthogonal systems and convolution operators

Type

Physical Book

Publisher

Springer

Author

ellis,gohberg

Language

English

Pages

236

ISBN

3764369299

ISBN13

9783764369293

Synopsis "orthogonal systems and convolution operators"

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.