ENGLISH

Spectral Theory of Approximation Methods for Convolution Equations

By Steffen Roch , Roland Hagen , Bernd Silbermann (auth.)

Book information

Publisher
Birkhäuser Basel
Year
1995
ISBN
978-3-0348-9891-1, 978-3-0348-9067-0
DOI
10.1007/978-3-0348-9067-0
Language
english
Format
PDF
Filesize
22 MB (23098324 bytes)
Series
Operator Theory Advances and Applications 74
Edition
1
Pages
376\387
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Numerical Analysis; Analysis

Description

The aim of the present book is to propose a new algebraic approach to the study of norm stability of operator sequences which arise, for example, via discretization of singular integral equations on composed curves. A wide variety of discretization methods, including quadrature rules and spline or wavelet approximations, is covered and studied from a unique point of view. The approach takes advantage of the fruitful interplay between approximation theory, concrete operator theory, and local Banach algebra techniques. The book is addressed to a wide audience, in particular to mathematicians working in operator theory and Banach algebras as well as to applied mathematicians and engineers interested in theoretical foundations of various methods in general use, particularly splines and wavelets. The exposition contains numerous examples and exercises. Students will find a large number of suggestions for their own investigations.

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