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Orthogonal Systems and Convolution Operators
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CVJ5ON4E6H5
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Geliefert zwischen Do., 29.01.2026 und Fr., 30.01.2026
Details
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.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09783764369293
- Größe H235mm x B235mm
- EAN 9783764369293
- Format Fachbuch
- Titel Orthogonal Systems and Convolution Operators
- Autor R Ellis , Israel C. Gohberg
- Gewicht 496g
- Herausgeber Springer, Basel
- Anzahl Seiten 238
- Genre Mathematik
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