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008			150903s2009 xxu| o |||| 0|eng d
020			_a9780387854694 _99780387854694
024	7		_a10.1007/9780387854694 _2doi
035			_avtls000333117
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050		4	_aQA403-403.3
100	1		_aDeitmar, Anton. _eautor _9302411
245	1	0	_aPrinciples of Harmonic Analysis / _cby Anton Deitmar, Siegfried Echterhoff.
264		1	_aNew York, NY : _bSpringer New York, _c2009.
300			_brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aUniversitext
500			_aSpringer eBooks
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.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aEchterhoff, Siegfried. _eautor _9303614
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780387854687
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-85469-4 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c279340 _d279340