000			01654nam a22003257a 4500
003			OSt
005			20250728165038.0
008			250728b |||||||| |||| 00| 0 eng d
020			_a9783319379043
020			_a9780387854687
020			_a9781071646328 (pbk.) _c€ 64.99
040			_bENG _cIISER-BPR _dIISER-BPR
041			_aENG
082			_a515.2433 _bDEI _223rd
100			_aDeitmar, Anton _95500
222			_aMathematics
245			_aPrinciples of harmonic analysis
250			_a1st ed.
260			_aNew York : _bSpringer Science, _cc2009.
300			_axv, 333 p. : _c23cm.
440			_aUniversitext
504			_aIncludes appendices, bibliographic references ansubject index.
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			_aMathematics
650			_aAnalysis
650			_aGeneral aspects of analysis _95501
650			_aHarmonic analysis
700			_aEchterhoff, Siegfried _95502
942			_2ddc _cBK
999			_c4270 _d4270