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100   $a20091012d2009      uy             0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aIntroduction to harmonic analysis and generalized Gelfand pairs$b[electronic resource] /$fGerrit van Dijik
210   $aBerlin ;$aNew York $cWalter De Gruyter$d2009
215   $a1 online resource (233 p.)
225 1 $aStudies in mathematics ;$v36
300   $aDescription based upon print version of record.
311   $a3-11-022019-9 
320   $aIncludes bibliographical references (p. [217]-220) and index.
327   $t Frontmatter -- $tContents -- $t1 Fourier Series -- $t2 Fourier Integrals -- $t3 Locally Compact Groups -- $t4 Haar Measures -- $t5 Harmonic Analysis on Locally Compact Abelian Groups -- $t6 Classical Theory of Gelfand Pairs -- $t7 Examples of Gelfand Pairs -- $t8 Theory of Generalized Gelfand Pairs -- $t9 Examples of Generalized Gelfand Pairs -- $t Backmatter
330   $aThis book is intended as an introduction to harmonic analysis and generalized Gelfand pairs. Starting with the elementary theory of Fourier series and Fourier integrals, the author proceeds to abstract harmonic analysis on locally compact abelian groups and Gelfand pairs. Finally a more advanced theory of generalized Gelfand pairs is developed. This book is aimed at advanced undergraduates or beginning graduate students. The scope of the book is limited, with the aim of enabling students to reach a level suitable for starting PhD research. The main prerequisites for the book are elementary real, complex and functional analysis. In the later chapters, familiarity with some more advanced functional analysis is assumed, in particular with the spectral theory of (unbounded) self-adjoint operators on a Hilbert space.  From the contents Fourier series Fourier integrals Locally compact groups Haar measures Harmonic analysis on locally compact abelian groups Theory and examples of Gelfand pairs Theory and examples of generalized Gelfand pairs
410  0$aDe Gruyter studies in mathematics ;$v36.
606   $aHarmonic analysis
606   $aFourier analysis
608   $aElectronic books.
615  0$aHarmonic analysis.
615  0$aFourier analysis.
676   $a515.785
686   $aSK 450$2rvk
700   $aDijk$b Gerrit van$f1939-$01044290
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910459336603321
996   $aIntroduction to harmonic analysis and generalized Gelfand pairs$92473557
997   $aUNINA