Spectral Theory of Approximation Methods for Convolution Equations
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Publication
2012 - Birkhauser Verlag
Language
English
Word Count
99,000 words, Guess
Page Count
396 pages
Identifiers
- ISBN-139783034890670
- ISBN-103034890672
- Better World Books9783034890670
- Open LibraryOL37229933M
Classifications
- LCCQA297-299.4
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.
Other Editions
- Spectral Theory of Approximation Methods for Convolution Equations
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