MARC Record from harvard_bibliographic_metadata

LEADER: 03017nam a22004575a 4500
001 013841075-5
005 20131206202116.0
008 121227s2001 xxu| s ||0| 0|eng d
020 $a9781468493023
020 $a9781468493023
020 $a9781441928832
024 7 $a10.1007/978-1-4684-9302-3$2doi
035 $a(Springer)9781468493023
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 $aJorgenson, Jay,$eauthor.
245 10 $aSpherical Inversion on SLn(R) /$cby Jay Jorgenson, Serge Lang.
264 1 $aNew York, NY :$bSpringer New York,$c2001.
300 $aXX, 426p. 2 illus.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aSpringer Monographs in Mathematics,$x1439-7382
505 0 $aIwasawa Decomposition and Positivity -- Invariant Differential Operators and the Iwasawa Direct Image -- Characters, Eigenfunctions, Spherical Kernel and W-Invariance -- Convolutions, Spherical Functions and the Mellin Transform -- Gelfand-Naimark Decomposition and the Harish-Chandra -Function -- Polar Decomposition -- The Casimir Operator -- The Harish-Chandra Series for Eigenfunctions of Casimir -- General Inversion -- The Harish-Chandra Schwartz Space (HCS) and Anker's Proof of Inversion -- Tube Domains and the L1 (Even Lp) HCS Spaces -- SLn(C).
520 $aHarish-Chandra's general Plancherel inversion theorem admits a much shorter presentation for spherical functions. The authors have taken into account contributions by Helgason, Gangolli, Rosenberg, and Anker from the mid-1960s to 1990. Anker's simplification of spherical inversion on the Harish-Chandra Schwartz space had not yet made it into a book exposition. Previous expositions have dealt with a general, wide class of Lie groups. This has made access to the subject difficult for outsiders, who may wish to connect some aspects with several if not all other parts of mathematics, and do so in specific cases of intrinsic interest. The essential features of Harish-Chandra theory are exhibited on SLn(R), but hundreds of pages of background can be replaced by short direct verifications. The material becomes accessible to graduate students with especially no background in Lie groups and representation theory. Spherical inversion is sufficient to deal with the heat kernel, which is at the center of the authors' current research. The book will serve as a self-contained background for parts of this research.
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aTopological Groups.
650 24 $aTopological Groups, Lie Groups.
700 1 $aLang, Serge,$eauthor.
776 08 $iPrinted edition:$z9781441928832
830 0 $aSpringer Monographs in Mathematics.
988 $a20131119
906 $0VEN