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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...

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Bibliografiske detaljer
Main Authors: Graham, Colin C., Hare, Kathryn Elizabeth (Author)
Format: Printed Book
Sprog:English
Udgivet: New York: Springer, 2013.
Serier:CMS books in mathematics.
Fag:
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008 121016s2013 nyu b 001 0 eng d
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010 |a  2012951842 
016 7 |a 016205795  |2 Uk 
020 |a 9781461453918 (alk. paper) 
020 |a 1461453917 (alk. paper) 
020 |z 9781461453925 (ebk.) 
035 |a (OCoLC)ocn802321772 
042 |a lccopycat 
082 0 0 |a 512/.55  |2 23 
100 1 |a Graham, Colin C. 
245 1 0 |a Interpolation and Sidon sets for compact groups /  |c Colin C. Graham, Kathryn E. Hare. 
260 |a New York:  |b Springer,  |c 2013. 
300 |a xvii, 249 pages ;  |c 25 cm. 
490 1 |a Canadian Mathematical Society. CMS books in mathematics,  |x 1613-5237 
504 |a Includes bibliographical references (pages 223-233) and indexes. 
505 0 |a 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. 
520 |a 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 -- 
650 0 |a Interpolation. 
650 0 |a Sidon sets. 
650 7 |a Interpolation.  |2 fast 
650 7 |a Sidon sets.  |2 fast 
700 1 |a Hare, Kathryn Elizabeth,  |e Author. 
942 |c BK 
830 0 |a CMS books in mathematics. 
906 |a 7  |b cbc  |c copycat  |d 2  |e epcn  |f 20  |g y-gencatlg 
955 |b rl09 2014-12-03 z-processor  |i rl09 2014-12-05 ; to Dewey 
955 |a pc17 2012-10-16  |a xh00 2013-03-11 to STM 
952 |0 0  |1 0  |4 0  |7 0  |9 150641  |a MAT  |b MAT  |c ST1  |d 2016-07-26  |g 4044.87  |i 6875  |l 0  |p MAT6875  |r 2016-07-26  |w 2016-07-26  |y BK