Książka Orthogonal Systems and Convolution Operators R Ellis

Orthogonal Systems and Convolution Operators

Język: Angielski
Oprawa: Twarda
Wydawca: Springer, Basel
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-18 dni
383.19
The main concern of this book is the distribution of zeros of polynomials that are orthogonal on the...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2003
strony
238
EAN
9783764369293
Enbook ID
05289204
Wydawca
Waga
606
Wymiary
235

Pełny opis

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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