Linear Operators and Approximation / Lineare Operatoren und Approximation: Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 14–22, 1971 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 14. bis 22. August 1971
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1972
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| Schriftenreihe: | International Series of Numerical Mathematics Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D'Analyse Numérique
20 |
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| Online-Zugang: | Volltext |
| Beschreibung: | These proceedings contain the lectures presented at the Conference on Linear Operators and Approximation held at the Oberwolfach Mathematical Research Institute, August 14-22, 1971. There were thirty-eight such lectures while four additional papers, subsequently submitted in writing, are also included in this volume. Two of the three lectures presented by Russian mathematicians are rendered in English, the third in Russian. Furthermore, there is a report on new and unsolved problems based upon special problem sessions, with later communications from the participants. In fact, two of the papers included are devoted to solutions of some of the problems posed. The papers have been classified according to subject matter into five chapters, but it needs little emphasis that such thematic groupings are necessarily somewhat arbitrary. Thus Chapter I on Operator Theory is concerned with linear and nonlinear semi-groups, structure of single operators, unitary operators, spectral and ergodic theory. Chapter II on Topics in Functional Analysis includes papers on Riesz spaces, boundedness theorems, generalized limits, and distributions. Chapter III, entitled "Approximation in Abstract Spaces", ranges from characterizations of clsses of functions in approximation theory to approximation-theoretical topics connected with extensions to Banach (or more general) spaces. Chapter IV contains papers on harmonic analysis in connection with approximation and, finally, Chapter V is devoted to approximation by splines, algebraic polynomials, rational functions, and to Pade approximation. A large part of the general editorial work connected with these proceedings was competently handled by Miss F. Feber, while G. |
| Beschreibung: | 1 Online-Ressource (506 p) |
| ISBN: | 9783034872836 9783034872850 |
| DOI: | 10.1007/978-3-0348-7283-6 |
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| 245 | 1 | 0 | |a Linear Operators and Approximation / Lineare Operatoren und Approximation |b Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 14–22, 1971 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 14. bis 22. August 1971 |c edited by P. L. Butzer, J.-P. Kahane, B. Szökefalvi-Nagy |
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| language | English |
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| series2 | International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D'Analyse Numérique |
| spelling | Linear Operators and Approximation / Lineare Operatoren und Approximation Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 14–22, 1971 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 14. bis 22. August 1971 edited by P. L. Butzer, J.-P. Kahane, B. Szökefalvi-Nagy Basel Birkhäuser Basel 1972 1 Online-Ressource (506 p) txt rdacontent c rdamedia cr rdacarrier International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D'Analyse Numérique 20 These proceedings contain the lectures presented at the Conference on Linear Operators and Approximation held at the Oberwolfach Mathematical Research Institute, August 14-22, 1971. There were thirty-eight such lectures while four additional papers, subsequently submitted in writing, are also included in this volume. Two of the three lectures presented by Russian mathematicians are rendered in English, the third in Russian. Furthermore, there is a report on new and unsolved problems based upon special problem sessions, with later communications from the participants. In fact, two of the papers included are devoted to solutions of some of the problems posed. The papers have been classified according to subject matter into five chapters, but it needs little emphasis that such thematic groupings are necessarily somewhat arbitrary. Thus Chapter I on Operator Theory is concerned with linear and nonlinear semi-groups, structure of single operators, unitary operators, spectral and ergodic theory. Chapter II on Topics in Functional Analysis includes papers on Riesz spaces, boundedness theorems, generalized limits, and distributions. Chapter III, entitled "Approximation in Abstract Spaces", ranges from characterizations of clsses of functions in approximation theory to approximation-theoretical topics connected with extensions to Banach (or more general) spaces. Chapter IV contains papers on harmonic analysis in connection with approximation and, finally, Chapter V is devoted to approximation by splines, algebraic polynomials, rational functions, and to Pade approximation. A large part of the general editorial work connected with these proceedings was competently handled by Miss F. Feber, while G. Science (General) Science, general Naturwissenschaft Butzer, Paul L. 1928- (DE-588)115500529 edt Kahane, Jean-Pierre 1926-2017 (DE-588)131512579 edt Szőkefalvi-Nagy, Béla 1913-1998 (DE-588)123323371 edt International Series of Numerical Mathematics Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D'Analyse Numérique 20 (DE-604)BV022447306 20 https://doi.org/10.1007/978-3-0348-7283-6 Verlag Volltext |
| spellingShingle | Linear Operators and Approximation / Lineare Operatoren und Approximation Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 14–22, 1971 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 14. bis 22. August 1971 International Series of Numerical Mathematics Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D'Analyse Numérique Science (General) Science, general Naturwissenschaft |
| title | Linear Operators and Approximation / Lineare Operatoren und Approximation Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 14–22, 1971 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 14. bis 22. August 1971 |
| title_auth | Linear Operators and Approximation / Lineare Operatoren und Approximation Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 14–22, 1971 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 14. bis 22. August 1971 |
| title_exact_search | Linear Operators and Approximation / Lineare Operatoren und Approximation Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 14–22, 1971 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 14. bis 22. August 1971 |
| title_full | Linear Operators and Approximation / Lineare Operatoren und Approximation Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 14–22, 1971 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 14. bis 22. August 1971 edited by P. L. Butzer, J.-P. Kahane, B. Szökefalvi-Nagy |
| title_fullStr | Linear Operators and Approximation / Lineare Operatoren und Approximation Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 14–22, 1971 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 14. bis 22. August 1971 edited by P. L. Butzer, J.-P. Kahane, B. Szökefalvi-Nagy |
| title_full_unstemmed | Linear Operators and Approximation / Lineare Operatoren und Approximation Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 14–22, 1971 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 14. bis 22. August 1971 edited by P. L. Butzer, J.-P. Kahane, B. Szökefalvi-Nagy |
| title_short | Linear Operators and Approximation / Lineare Operatoren und Approximation |
| title_sort | linear operators and approximation lineare operatoren und approximation proceedings of the conference held at the oberwolfach mathematical research institute black forest august 14 22 1971 abhandlungen zur tagung im mathematischen forschungsinstitut oberwolfach schwarzwald vom 14 bis 22 august 1971 |
| title_sub | Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 14–22, 1971 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 14. bis 22. August 1971 |
| topic | Science (General) Science, general Naturwissenschaft |
| topic_facet | Science (General) Science, general Naturwissenschaft |
| url | https://doi.org/10.1007/978-3-0348-7283-6 |
| volume_link | (DE-604)BV022447306 |
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