书目名称 | Interpolation and Sidon Sets for Compact Groups | 编辑 | Colin C. Graham,Kathryn E. Hare | 视频video | | 概述 | Only book on interpolation sets.Only book in English with Pisier-Bourgain results.Brings together results from topology, probability, combinatorics, algebra and analysis ?.Includes supplementary mater | 丛书名称 | CMS Books in Mathematics | 图书封面 |  | 描述 | 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 also provides direction to the literature for topics it does not fully cover. The book is self-contained, with appendices covering results that are required, but not necessarily in the pre-requisite background of a student ready to choose an area for research in harmonic analysis. | 出版日期 | Book 2013 | 关键词 | Bohr Topology; Interpolation Sets; Kronecker sets; Probablistic Methods in Harmonic Analysis; Quasi-inde | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4614-5392-5 | isbn_softcover | 978-1-4899-7360-3 | isbn_ebook | 978-1-4614-5392-5Series ISSN 1613-5237 Series E-ISSN 2197-4152 | issn_series | 1613-5237 | copyright | Springer Science+Business Media New York 2013 |
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