000			03005nam a22004575i 4500
001			978-0-387-85469-4
003			DE-He213
005			20251006084425.0
007			cr nn 008mamaa
008			100301s2009 xxu| s |||| 0|eng d
020			_a9780387854694
020			_a99780387854694
024	7		_a10.1007/978-0-387-85469-4 _2doi
082	0	4	_a515.785 _223
100	1		_aDeitmar, Anton. _eauthor.
245	1	0	_aPrinciples of Harmonic Analysis _h[electronic resource] / _cby Anton Deitmar, Siegfried Echterhoff.
264		1	_aNew York, NY : _bSpringer New York, _c2009.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext
505	0		_aHaar Integration -- Banach Algebras -- Duality for Abelian Groups -- The Structure of LCA-Groups -- Operators on Hilbert Spaces -- Representations -- Compact Groups -- Direct Integrals -- The Selberg Trace Formula -- The Heisenberg Group -- SL2(?) -- Wavelets.
520			_aThe present book is intended as a text for a graduate course on abstract harmonic analysis and its applications. The book can be used as a follow up to Anton Deitmer's previous book, A First Course in Harmonic Analysis, or independently, if the students already have a modest knowledge of Fourier Analysis. In this book, among other things, proofs are given of Pontryagin Duality and the Plancherel Theorem for LCA-groups, which were mentioned but not proved in A First Course in Harmonic Analysis. Using Pontryagin duality, the authors also obtain various structure theorems for locally compact abelian groups. The book then proceeds with Harmonic Analysis on non-abelian groups and its applications to theory in number theory and the theory of wavelets. Knowledge of set theoretic topology, Lebesgue integration, and functional analysis on an introductory level will be required in the body of the book. For the convenience of the reader, all necessary ingredients from these areas have been included in the appendices. Professor Deitmar is Professor of Mathematics at the University of Tübingen, Germany. He is a former Heisenberg fellow and has taught in the U.K. for some years. Professor Echterhoff is Professor of Mathematics and Computer Science at the University of Münster, Germany.
650		0	_aMATHEMATICS.
650		0	_aHARMONIC ANALYSIS.
650		0	_aFOURIER ANALYSIS.
650	1	4	_aMATHEMATICS.
650	2	4	_aABSTRACT HARMONIC ANALYSIS.
650	2	4	_aFOURIER ANALYSIS.
700	1		_aEchterhoff, Siegfried. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387854687
830		0	_aUniversitext
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-85469-4 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59266 _d59266