MARC Record from harvard_bibliographic_metadata

LEADER: 03114nam a22004695a 4500
001 013841353-3
005 20131206202255.0
008 130321s2002 xxu| s ||0| 0|eng d
020 $a9781475738346
020 $a9781475738346
020 $a9781475738360
024 7 $a10.1007/978-1-4757-3834-6$2doi
035 $a(Springer)9781475738346
040 $aSpringer
050 4 $aQA252.3
050 4 $aQA387
072 7 $aPBG$2bicssc
072 7 $aMAT014000$2bisacsh
072 7 $aMAT038000$2bisacsh
082 04 $a512.55$223
082 04 $a512.482$223
100 1 $aDeitmar, Anton,$eauthor.
245 12 $aA First Course in Harmonic Analysis /$cby Anton Deitmar.
264 1 $aNew York, NY :$bSpringer New York :$bImprint: Springer,$c2002.
300 $aXI, 152 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aUniversitext,$x0172-5939
505 0 $aFourier Series -- Hilbert Spaces -- The Fourier Transform -- Finite Abelian Groups -- LCA-groups -- The Dual Group -- The Plancheral Theorem -- Matrix Groups -- The Representations of SU(2) -- The Peter-Weyl Theorem -- The Riemann zeta function -- Haar integration.
520 $aThis book is a primer in harmonic analysis on the undergraduate level. It gives a lean and streamlined introduction to the central concepts of this beautiful and utile theory. In contrast to other books on the topic, A First Course in Harmonic Analysis is entirely based on the Riemann integral and metric spaces instead of the more demanding Lebesgue integral and abstract topology. Nevertheless, almost all proofs are given in full and all central concepts are presented clearly. The first aim of this book is to provide an introduction to Fourier analysis, leading up to the Poisson Summation Formula. The second aim is to make the reader aware of the fact that both principal incarnations of Fourier theory, 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. These techniques are explained in the context of matrix groups as a principal example. The reader interested in the central concepts and results of harmonic analysis will benefit from the streamlined and direct approach of this book. Professor Deitmar holds a Chair in Pure Mathematics at the University of Exeter, U.K. He is a former Heisenberg fellow and was awarded the main prize of the Japanese Association of Mathematical Sciences in 1998. In his leisure time he enjoys hiking in the mountains and practising Aikido.
650 10 $aMathematics.
650 0 $aGlobal analysis (Mathematics)
650 0 $aMathematics.
650 0 $aTopological Groups.
650 24 $aTopological Groups, Lie Groups.
650 24 $aAnalysis.
776 08 $iPrinted edition:$z9781475738360
830 0 $aUniversitext.
988 $a20131119
906 $0VEN