000			03661nam a22004695i 4500
001			978-0-387-27561-1
003			DE-He213
005			20250710083938.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780387275611 _a99780387275611
024	7		_a10.1007/0-387-27561-4 _2doi
082	0	4	_a515.785 _223
100	1		_aDeitmar, Anton. _eauthor.
245	1	2	_aA First Course in Harmonic Analysis _h[recurso electrónico] / _cby Anton Deitmar.
250			_aSecond Edition.
264		1	_aNew York, NY : _bSpringer New York, _c2005.
300			_aXII, 192 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext
505	0		_aFourier Analysis -- Fourier Series -- Hilbert Spaces -- The Fourier Transform -- Distributions -- LCA Groups -- Finite Abelian Groups -- LCA Groups -- The Dual Group -- Plancherel Theorem -- Noncommutative Groups -- Matrix Groups -- The Representations of SU(2) -- The Peter-Weyl Theorem -- The Heisenberg Group.
520			_aFrom the reviews of the first edition: "This lovely book is intended as a primer in harmonic analysis at the undergraduate level. All the central concepts of harmonic analysis are introduced using Riemann integral and metric spaces only. The exercises at the end of each chapter are interesting and challenging..." Sanjiv Kumar Gupta for MathSciNet "... In this well-written textbook the central concepts of Harmonic Analysis are explained in an enjoyable way, while using very little technical background. Quite surprisingly this approach works. It is not an exaggeration that each undergraduate student interested in and each professor teaching Harmonic Analysis will benefit from the streamlined and direct approach of this book." Ferenc Móricz for Acta Scientiarum Mathematicarum This book is a primer in harmonic analysis using an elementary approach. Its first aim is to provide an introduction to Fourier analysis, leading up to the Poisson Summation Formula. Secondly, it makes the reader aware of the fact that both, the Fourier series and the Fourier transform, are special cases of a more general theory arising in the context of locally compact abelian groups. The third goal of this book is to introduce the reader to the techniques used in harmonic analysis of noncommutative groups. There are two new chapters in this new edition. One on distributions will complete the set of real variable methods introduced in the first part. The other on the Heisenberg Group provides an example of a group that is neither compact nor abelian, yet is simple enough to easily deduce the Plancherel Theorem. Professor Deitmar is Professor of Mathematics at the University of T"ubingen, Germany. He is a former Heisenberg fellow and has taught in the U.K. for some years. In his leisure time he enjoys hiking in the mountains and practicing Aikido.
650		0	_aMATHEMATICS.
650		0	_aTOPOLOGICAL GROUPS.
650		0	_aGLOBAL ANALYSIS (MATHEMATICS).
650		0	_aHARMONIC ANALYSIS.
650	1	4	_aMATHEMATICS.
650	2	4	_aABSTRACT HARMONIC ANALYSIS.
650	2	4	_aTOPOLOGICAL GROUPS, LIE GROUPS.
650	2	4	_aANALYSIS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387228372
830		0	_aUniversitext
856	4	0	_uhttp://dx.doi.org/10.1007/0-387-27561-4 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56690 _d56690