000			02912cam a22003977a 4500
001			15473032
003			CUTN
005			20231211111209.0
008			080926s2009 nyu b 001 0 eng
010			_a 2008938333
015			_aGBA903240 _2bnb
016	7		_a014858379 _2Uk
020			_a9783319709482
020			_a9780387854687 (pbk.)
020			_a038785469X (ebk.)
020			_a9780387854694 (ebk.)
035			_a(OCoLC)ocn277275470
040			_aYDXCP _cYDXCP _dOHX _dCDX _dMUU _dUKM _dBWX _dOIP _dVRC _dDLC
042			_alccopycat
050	0	0	_aQA403 _b.D45 2009
082	0	4	_a515.243 _222 _bDEI
100	1		_aDeitmar, Anton.
245	1	0	_aPrinciples of harmonic analysis / _cAnton Deitmar, Siegfried Echterhoff.
250			_a2nd ed.
260			_aNew York : _bSpringer, _cc2009.
300			_axv, 333 p. ; _c24 cm.
490	0		_aUniversitext
504			_aIncludes bibliographical references (p.323-327) and index.
505			_aHaar Integration Anton Deitmar, Siegfried Echterhoff Pages 1-35 Banach Algebras Anton Deitmar, Siegfried Echterhoff Pages 37-60 Duality for Abelian Groups Anton Deitmar, Siegfried Echterhoff Pages 61-83 The Structure of LCA-Groups Anton Deitmar, Siegfried Echterhoff Pages 85-106 Operators on Hilbert Spaces Anton Deitmar, Siegfried Echterhoff Pages 107-121 Representations Anton Deitmar, Siegfried Echterhoff Pages 123-131 Compact Groups Anton Deitmar, Siegfried Echterhoff Pages 133-151 Direct Integrals Anton Deitmar, Siegfried Echterhoff Pages 153-163 The Selberg Trace Formula Anton Deitmar, Siegfried Echterhoff Pages 165-183 The Heisenberg Group Anton Deitmar, Siegfried Echterhoff Pages 185-194 Anton Deitmar, Siegfried Echterhoff Pages 195-223 Wavelets Anton Deitmar, Siegfried Echterhoff Pages 225-245 p-Adic Numbers and Adeles Anton Deitmar, Siegfried Echterhoff Pages 247-267 Back Matter Pages 269-332
520			_aThis book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.
650		0	_aHarmonic analysis.
700	1		_aEchterhoff, Siegfried, _d1960-
906			_a7 _bcbc _ccopycat _d2 _encip _f20 _gy-gencatlg
942			_2ddc _cPROJECT
999			_c40549 _d40549