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Interpolation and Sidon sets for compact groups Colin C. Graham, Kathryn E. Hare
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2013 English International Available online
View online- Format:
- Book
- Author/Creator:
- Graham, Colin C.
- Series:
- CMS books in mathematics
- [CMS books in mathematics = Ouvrages de mathématiques de la SMC]
- Language:
- English
- Subjects (All):
- Interpolation.
- Sidon sets.
- Mathematics.
- Harmonic analysis.
- Fourier analysis.
- Functional analysis.
- mathematics.
- applied mathematics.
- Physical Description:
- 1 online resource
- Place of Publication:
- New York Springer [2013]
- System Details:
- text file
- Summary:
- 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
- Contents:
- Hadamard sets
- [epsilon]-Kronecker sets
- I[subscript]₀ sets and their characterizations
- More restrictive classes of I[subscript]₀ sets
- Unions and decompositions of I[subscript]₀(U) sets
- Sidon sets : introduction and decomposition properties
- Sidon sets are proporional quasi-independent
- How thin are Sidon sets in the Bohr compactification?
- The relationship between Sidon and I[subscript]₀
- Sets of zero discrete harmonic density
- Appendices
- Notes:
- Includes bibliographical references and indexes
- Other Format:
- Printed edition:
- ISBN:
- 9781461453925
- 1461453925
- 9781461453918
- 1461453917
- 1283945118
- 9781283945110
- OCLC:
- 889215588
- Access Restriction:
- Restricted for use by site license
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