Spectral Theory of Approximation Methods for Convolution Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1995
|
| Schriftenreihe: | Operator Theory Advances and Applications
74 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (376p) |
| ISBN: | 9783034890670 9783034898911 |
| DOI: | 10.1007/978-3-0348-9067-0 |
Internformat
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| 245 | 1 | 0 | |a Spectral Theory of Approximation Methods for Convolution Equations |c by Roland Hagen, Steffen Roch, Bernd Silbermann |
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| 490 | 0 | |a Operator Theory Advances and Applications |v 74 | |
| 500 | |a 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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Datensatz im Suchindex
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| author | Hagen, Roland |
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| author_sort | Hagen, Roland |
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| bvnumber | BV042422286 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518 |
| dewey-search | 518 |
| dewey-sort | 3518 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-9067-0 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034890670 9783034898911 |
| language | English |
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| spelling | Hagen, Roland Verfasser aut Spectral Theory of Approximation Methods for Convolution Equations by Roland Hagen, Steffen Roch, Bernd Silbermann Basel Birkhäuser Basel 1995 1 Online-Ressource (376p) txt rdacontent c rdamedia cr rdacarrier Operator Theory Advances and Applications 74 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 Mathematics Global analysis (Mathematics) Numerical analysis Numerical Analysis Analysis Mathematik Faltungsgleichung (DE-588)4368138-4 gnd rswk-swf Operator (DE-588)4130529-2 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Faltungsgleichung (DE-588)4368138-4 s Approximation (DE-588)4002498-2 s Spektraltheorie (DE-588)4116561-5 s 1\p DE-604 Operator (DE-588)4130529-2 s 2\p DE-604 Roch, Steffen Sonstige oth Silbermann, Bernd Sonstige oth https://doi.org/10.1007/978-3-0348-9067-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hagen, Roland Spectral Theory of Approximation Methods for Convolution Equations Mathematics Global analysis (Mathematics) Numerical analysis Numerical Analysis Analysis Mathematik Faltungsgleichung (DE-588)4368138-4 gnd Operator (DE-588)4130529-2 gnd Approximation (DE-588)4002498-2 gnd Spektraltheorie (DE-588)4116561-5 gnd |
| subject_GND | (DE-588)4368138-4 (DE-588)4130529-2 (DE-588)4002498-2 (DE-588)4116561-5 |
| title | Spectral Theory of Approximation Methods for Convolution Equations |
| title_auth | Spectral Theory of Approximation Methods for Convolution Equations |
| title_exact_search | Spectral Theory of Approximation Methods for Convolution Equations |
| title_full | Spectral Theory of Approximation Methods for Convolution Equations by Roland Hagen, Steffen Roch, Bernd Silbermann |
| title_fullStr | Spectral Theory of Approximation Methods for Convolution Equations by Roland Hagen, Steffen Roch, Bernd Silbermann |
| title_full_unstemmed | Spectral Theory of Approximation Methods for Convolution Equations by Roland Hagen, Steffen Roch, Bernd Silbermann |
| title_short | Spectral Theory of Approximation Methods for Convolution Equations |
| title_sort | spectral theory of approximation methods for convolution equations |
| topic | Mathematics Global analysis (Mathematics) Numerical analysis Numerical Analysis Analysis Mathematik Faltungsgleichung (DE-588)4368138-4 gnd Operator (DE-588)4130529-2 gnd Approximation (DE-588)4002498-2 gnd Spektraltheorie (DE-588)4116561-5 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Numerical analysis Numerical Analysis Analysis Mathematik Faltungsgleichung Operator Approximation Spektraltheorie |
| url | https://doi.org/10.1007/978-3-0348-9067-0 |
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