MARC Record from Library of Congress

LEADER: 02893cam a22004097i 4500
001 2012951842
003 DLC
005 20150514083405.0
008 121016s2013 nyu b 001 0 eng d
010 $a 2012951842
016 7 $a016205795$2Uk
020 $a9781461453918 (alk. paper)
020 $a1461453917 (alk. paper)
020 $z9781461453925 (ebk.)
035 $a(OCoLC)ocn802321772
040 $aBTCTA$beng$erda$cBTCTA$dUKMGB$dYDXCP$dEYM$dOCLCO$dBWX$dMUU$dOCLCF$dNAM$dOCLCQ$dDLC
042 $alccopycat
050 00 $aQA281$b.G64 2013
082 00 $a512/.55$223
100 1 $aGraham, Colin C.
245 10 $aInterpolation and Sidon sets for compact groups /$cColin C. Graham, Kathryn E. Hare.
264 1 $aNew York :$bSpringer,$c[2013]
264 4 $c©2013
300 $axvii, 249 pages ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aCanadian Mathematical Society. CMS books in mathematics,$x1613-5237
504 $aIncludes bibliographical references (pages 223-233) and indexes.
505 0 $aHadamard 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 $aUnderstanding special sets of integers was classically of interest to Hadamard, Zygmund and others, and continues to be of interest today. This book is a modern treatment of the subject of interpolation and Sidon sets. It is a unique book, aimed at both new and experienced researchers. In particular, this is the only book in English which features a complete treatment of the Pisier-Bourgain results on Sidon sets, many of which were originally in French, in hard to access publications. Applications of the P-B results, due to Pisier, Bourgain, Ramsey, and the authors are included. The book introduces the reader to a wealth of methods important in mathematics today: topological, probabilistic, algebraic, combinatoric and analytic. It prepares students to perform research in the area and provides both exercises and open problems. The book is self-contained, with appendices covering results that are required, but not necessarily in the pre-requiste background of a student ready to choose an area in harmonic analysis --$cP. [4] of cover.
650 0 $aInterpolation.
650 0 $aSidon sets.
650 7 $aInterpolation.$2fast$0(OCoLC)fst00977456
650 7 $aSidon sets.$2fast$0(OCoLC)fst01118178
700 1 $aHare, Kathryn Elizabeth,$d1959-
830 0 $aCMS books in mathematics.