Könyv Orthogonal Systems and Convolution Operators R Ellis

Orthogonal Systems and Convolution Operators

Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Springer, Basel
Elérhetőség: Beszállítói készleten
Küldés 10-18 napon belül
35 444 Ft
The main concern of this book is the distribution of zeros of polynomials that are orthogonal on the...

Információk a könyvről

Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
2003
oldal
238
EAN
9783764369293
Enbook ID
05289204
Súly
606
Méretek
235

Teljes leírás

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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