LEADER 03534nam 2200637 a 450 001 9910438137003321 005 20200520144314.0 010 $a1-283-94511-8 010 $a1-4614-5392-5 024 7 $a10.1007/978-1-4614-5392-5 035 $a(CKB)2670000000316156 035 $a(EBL)1081910 035 $a(OCoLC)823729087 035 $a(SSID)ssj0000879135 035 $a(PQKBManifestationID)11455600 035 $a(PQKBTitleCode)TC0000879135 035 $a(PQKBWorkID)10837687 035 $a(PQKB)11599708 035 $a(DE-He213)978-1-4614-5392-5 035 $a(MiAaPQ)EBC1081910 035 $a(PPN)168302918 035 $a(EXLCZ)992670000000316156 100 $a20121016d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aInterpolation and sidon sets for compact groups /$fColin C. Graham, Kathryn E. Hare 205 $a1st ed. 2013. 210 $aNew York $cSpringer$d2013 215 $a1 online resource (260 p.) 225 0 $aCanadian Mathematical Society = Societe mathematique du Canada,$x1613-5237 300 $aDescription based upon print version of record. 311 $a1-4899-7360-5 311 $a1-4614-5391-7 320 $aIncludes bibliographical references and indexes. 327 $aPreface -- 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. 330 $aUnderstanding special sets of integers was classically of interest to Hadamard, Zygmund and others, and continues to be of interest today. This book is a modern treatment of the subject of interpolation and Sidon sets. It is a unique book, aimed at both new and experienced researchers. In particular, this is the only book in English which features a complete treatment of the Pisier-Bourgain results on Sidon sets, many of which were originally in French, in hard to access publications. Applications of the P-B results, due to Pisier, Bourgain, Ramsey, and the authors are included. The book introduces the reader to a wealth of methods important in mathematics today: topological, probabilistic, algebraic, combinatoric and analytic. It prepares students to perform research in the area and provides both exercises and open problems. The book also provides direction to the literature for topics it does not fully cover. The book is self-contained, with appendices covering results that are required, but not necessarily in the pre-requisite background of a student ready to choose an area for research in harmonic analysis. 410 0$aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC,$x1613-5237 606 $aInterpolation 606 $aSidon sets 606 $aCompact Abelian groups 615 0$aInterpolation. 615 0$aSidon sets. 615 0$aCompact Abelian groups. 676 $a511.422 700 $aGraham$b Colin C$0441800 701 $aHare$b Kathryn E$01755399 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438137003321 996 $aInterpolation and sidon sets for compact groups$94192170 997 $aUNINA