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Interpolation and Sidon sets for compact groups /
Understanding special sets of integers was classically of interest to Hadamard, Zygmund and others, and continues to be of interest today. This book is a modern treatment of the subject of interpolation and Sidon sets. It is a unique book, aimed at both new and experienced researchers. In particular...
| Main Authors: | , |
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| Formato: | Printed Book |
| Idioma: | English |
| Publicado em: |
New York:
Springer,
2013.
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| Colecção: | CMS books in mathematics.
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| Assuntos: |
| Resumo: | Understanding special sets of integers was classically of interest to Hadamard, Zygmund and others, and continues to be of interest today. This book is a modern treatment of the subject of interpolation and Sidon sets. It is a unique book, aimed at both new and experienced researchers. In particular, this is the only book in English which features a complete treatment of the Pisier-Bourgain results on Sidon sets, many of which were originally in French, in hard to access publications. Applications of the P-B results, due to Pisier, Bourgain, Ramsey, and the authors are included. The book introduces the reader to a wealth of methods important in mathematics today: topological, probabilistic, algebraic, combinatoric and analytic. It prepares students to perform research in the area and provides both exercises and open problems. The book is self-contained, with appendices covering results that are required, but not necessarily in the pre-requiste background of a student ready to choose an area in harmonic analysis -- |
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| Descrição Física: | xvii, 249 pages ; 25 cm. |
| Bibliografia: | Includes bibliographical references (pages 223-233) and indexes. |
| ISBN: | 9781461453918 (alk. paper) 1461453917 (alk. paper) |
| ISSN: | 1613-5237 |