000			03292nam a22004935i 4500
001			978-1-4614-5392-5
003			DE-He213
005			20140220082820.0
007			cr nn 008mamaa
008			130107s2013 xxu| s |||| 0|eng d
020			_a9781461453925 _9978-1-4614-5392-5
024	7		_a10.1007/978-1-4614-5392-5 _2doi
050		4	_aQA403-403.3
072		7	_aPBKD _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515.785 _223
100	1		_aGraham, Colin C. _eauthor.
245	1	0	_aInterpolation and Sidon Sets for Compact Groups _h[electronic resource] / _cby Colin C. Graham, Kathryn E. Hare.
264		1	_aBoston, MA : _bSpringer US : _bImprint: Springer, _c2013.
300			_aXVII, 249 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC, _x1613-5237
505	0		_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.
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 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.
650		0	_aMathematics.
650		0	_aHarmonic analysis.
650		0	_aFourier analysis.
650		0	_aFunctional analysis.
650	1	4	_aMathematics.
650	2	4	_aAbstract Harmonic Analysis.
650	2	4	_aFourier Analysis.
650	2	4	_aFunctional Analysis.
700	1		_aHare, Kathryn E. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461453918
830		0	_aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC, _x1613-5237
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-5392-5
912			_aZDB-2-SMA
999			_c95398 _d95398