Spectral Theory of Approximation Methods for Convolution Equations: 74 (Operator Theory: Advances and Applications, 74) - Hardcover

Hagen, Roland; Roch, Steffen; Silbermann, Bernd

Hardcover

ISBN 10: 3764351128 ISBN 13: 9783764351120

Publisher: Birkhäuser, 1994

Synopsis

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.

About this title

Synopsis

The aim of this 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, are covered and studied. 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.

Edition details

• Publisher: Birkhäuser
• Publication date: 1994
• Language: English
• ISBN 10: 3764351128
• ISBN 13: 9783764351120
• Binding: Hardcover
• Number of pages: 376