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.
- ISBN13 9783034898911
- Publish Date 20 September 2011 (first published 1 September 1994)
- Publish Status Active
- Publish Country CH
- Imprint Birkhauser Verlag AG
- Edition Softcover reprint of the original 1st ed. 1995
- Format Paperback
- Pages 376
- Language English