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Author: Ruben Alejandro Martinez Avendano
Publisher:
ISBN:
Category :
Languages : en
Pages : 208
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Book Description
Author: Ruben Alejandro Martinez Avendano
Publisher:
ISBN:
Category :
Languages : en
Pages : 208
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Book Description
![Hankel Operators and Generalizations [microform] PDF](https://books.google.com/books/content/images/frontcover/d6BXpwAACAAJ?fife=w80-h100)
Author: Ruben Alejandro Martinez Avendano
Publisher: National Library of Canada = Bibliothèque nationale du Canada
ISBN: 9780612537811
Category :
Languages : en
Pages : 208
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Author: Svante Janson
Publisher:
ISBN:
Category :
Languages : en
Pages : 46
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Author: Jonathan R. Partington
Publisher: Cambridge University Press
ISBN: 9780521367912
Category : Mathematics
Languages : en
Pages : 116
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Book Description
Hankel operators are of wide application in mathematics and engineering and this account of them is both elementary and rigorous.
Author: Vladimir Peller
Publisher: Springer Science & Business Media
ISBN: 0387216812
Category : Mathematics
Languages : en
Pages : 789
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Book Description
The purpose of this book is to describe the theory of Hankel operators, one of the most important classes of operators on spaces of analytic func tions. Hankel operators can be defined as operators having infinite Hankel matrices (i. e. , matrices with entries depending only on the sum of the co ordinates) with respect to some orthonormal basis. Finite matrices with this property were introduced by Hankel, who found interesting algebraic properties of their determinants. One of the first results on infinite Han kel matrices was obtained by Kronecker, who characterized Hankel matri ces of finite rank as those whose entries are Taylor coefficients of rational functions. Since then Hankel operators (or matrices) have found numerous applications in classical problems of analysis, such as moment problems, orthogonal polynomials, etc. Hankel operators admit various useful realizations, such as operators on spaces of analytic functions, integral operators on function spaces on (0,00), operators on sequence spaces. In 1957 Nehari described the bounded Hankel operators on the sequence space £2. This description turned out to be very important and started the contemporary period of the study of Hankel operators. We begin the book with introductory Chapter 1, which defines Hankel operators and presents their basic properties. We consider different realiza tions of Hankel operators and important connections of Hankel operators with the spaces BMa and V MO, Sz. -Nagy-Foais functional model, re producing kernels of the Hardy class H2, moment problems, and Carleson imbedding operators.
Author: S. C. Power
Publisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 112
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Author: Bettina Rehberg
Publisher:
ISBN:
Category :
Languages : en
Pages : 90
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Author: Aline Bonami
Publisher:
ISBN:
Category :
Languages : en
Pages : 14
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Author: William B. Gragg
Publisher:
ISBN:
Category :
Languages : en
Pages : 16
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Let H be a Hankel operator defined by its symbol rho = pi X Chi where is a monic polynomial of degree n and pi is a polynomial of degree less than n. Then H has rank n. We derive a generalized Takagi singular value problem defined by two n x n matrices, such that its n generalized Takagi singular values are the positive singular values of H. If rho is real, then the generalized Takagi singular value problem reduces to a generalized symmetric eigenvalue problem. The computations can be carried out so that the Lanczos method applied to the latter problem requires only 0(n log n) arithmetic operations for each iteration. If pi and chi are given in power form, then the elements of all n x n matrices required can be determined in 0(sq.n) arithmetic operations.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 784
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