MARC Record from harvard_bibliographic_metadata

LEADER: 03239nam a22004935a 4500
001 013842343-1
005 20140619164822.0
008 121227s1988 gw | s ||0| 0|eng d
020 $a9783642729560
020 $a9783642729560
020 $a9783642729584
024 7 $a10.1007/978-3-642-72956-0$2doi
035 $a(Springer)9783642729560
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 $aGangolli, Ramesh,$eauthor.
245 10 $aHarmonic Analysis of Spherical Functions on Real Reductive Groups /$cby Ramesh Gangolli, Veeravalli S. Varadarajan.
264 1 $aBerlin, Heidelberg :$bSpringer Berlin Heidelberg,$c1988.
300 $aXIV, 365p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aErgebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics,$x0071-1136 ;$v101
505 0 $aContents: The Concept of a Spherical Function -- Structure of Semisimple Lie Groups and Differential Operators on Them -- The Elementary Spherical Functions -- The Harish-Chandra Series for and the c-Function -- Asymptotic Behaviour of Elementary Spherical Functions -- The L2-Theory. The Harish-Chandra Transform on the Schwartz Space of G//K -- LP-Theory of Harish-Chandra Transform. Fourier Analysis on the Spaces CP(G//K) -- Bibliography -- Subject Index.
520 $aThe purpose of this book is to give a thorough treatment of the harmonic analysis of spherical functions on symmetric spaces. The theory was originally created by Harish-Chandra in the late 1950's and important additional contributions were made by many others in the succeeding years. The book attempts to give a definite treatment of these results from the spectral theoretic viewpoint. The harmonic analysis of spherical functions treated here contains the essentials of large parts of harmonic analysis of more general functions on semisimple Lie groups. Since the latter involves many additional technical complications, it will be very illuminating for any potential student of general harmonic analysis to see how the basic ideas emerge in the context of spherical functions. With this in mind, an attempt has been made only to use those methods (as far as possible) which generalize. Mathematicians and graduate students as well as mathematical physicists interested in semisimple Lie groups, homogeneous spaces, representations and harmonic analysis will find this book stimulating.
650 20 $aDifferential equations, Partial.
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aTopological Groups.
650 0 $aDifferential equations, partial.
650 24 $aTopological Groups, Lie Groups.
650 24 $aTheoretical, Mathematical and Computational Physics.
700 1 $aVaradarajan, Veeravalli S.,$eauthor.
776 08 $iPrinted edition:$z9783642729584
830 0 $aErgebnisse der Mathematik und ihrer Grenzgebiete ;$v3. Folge, Bd. 101.
988 $a20131119
906 $0VEN