Hankel Operators and Their Applications

Vladimir V. Peller

800 pages, parution le 06/02/2003

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Résumé

Together with Toeplitz operators Hankel operators form one of the most important classes of operators on spaces of analytic functions. They can be defined as operators having infinite Hankel matrices with respect to a fixed orthonormal basis. Such matrices of finite size were introduced by Hankel who studied their determinants. Later Hankel operators (or matrices) were used on numerous occasions, including moment problems and orthogonal polynomials. In 1957 Nehari described the bounded Hankel operators. This book will become the major standard reference on Hankel operators. Essentially all the material in this manuscript already appears in the literature, but most of it has not appeared in book form. The author has done a tremondous service in pulling all this material together, unifying it, and giving it a consistent notation. Peller has not simply pasted together dozens of papers...he has simplified the original proofs of theorems, as is often possible as a subject matures. Vladimir Peller is Professor of Mathematics at Michigan State University and he is a leading expert in the field of Hankel Operators.

Contents

An Introduction to Hankel Operators
Vectorial Hankel Operators
Toeplitz Operators
Singular Values of Hankel Operators
Parametrization of Solutions of the Nehari Problem
Hankel Operators and Schatten-von Neumann Classes
Best Approximation by Analytic and Meromorphic Functions
An Introduction to Gaussian Spaces
Regularity Conditions for Stationary Processes
Spectral Properties of Hankel Operators
Hankel Operators in Control Theory
The Inverse Spectral Problem for Self-Adjoint Hankel Operators
Wiener-Hopf Factorizations and the Recovery Problem
Analytic Approximation of Matrix Functions
Hankel Operators and Similarity to a Contraction

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Vladimir V. Peller
Parution	06/02/2003
Nb. de pages	800
Format	16 x 24
Couverture	Relié
Poids	1230g
Intérieur	Noir et Blanc
EAN13	9780387955483
ISBN13	978-0-387-95548-3