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Record Nr. |
UNINA9910438137003321 |
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Autore |
Graham Colin C |
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Titolo |
Interpolation and sidon sets for compact groups / / Colin C. Graham, Kathryn E. Hare |
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Pubbl/distr/stampa |
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New York, : Springer, 2013 |
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ISBN |
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1-283-94511-8 |
1-4614-5392-5 |
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Edizione |
[1st ed. 2013.] |
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Descrizione fisica |
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1 online resource (260 p.) |
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Collana |
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Canadian Mathematical Society = Societe mathematique du Canada, , 1613-5237 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Interpolation |
Sidon sets |
Compact Abelian groups |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and indexes. |
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Nota di contenuto |
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Preface -- Introduction -- Hadamard Sets -- $\epsilon$-Kronecker sets -- Sidon sets: Introduction and decomposition properties -- Characterizations of $I_0$ sets -- Proportional characterizations of Sidon sets -- Decompositions of $I_0$ sets -- Sizes of thin sets -- Sets of zero discrete harmonic density -- Related results.-Open problems -- Appendices (Groups, Probability, Combinatoric results,...) -- Bibliography -- Author index -- Subject index -- Index of notation. |
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Sommario/riassunto |
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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 |
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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. |
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