MARC record from Internet Archive

LEADER: 05387cam 2201069 a 4500
001 ocm15418712
003 OCoLC
005 20220813183422.0
008 870311s1987 gw b 001 0 eng
010 $a 87004874
040 $aDLC$beng$cDLC$dMUQ$dBTCTA$dYDXCP$dBAKER$dCRU$dGBVCP$dLGG$dZWZ$dHEBIS$dBDX$dOCLCO$dOCLCF$dOCLCQ$dDEBBG$dDEBSZ$dOCLCQ$dCSJ$dOCLCO$dOCLCQ$dOCLCA$dCPO$dOCLCO$dOCLCQ$dOCLCO$dUKMGB$dHUELT$dOCLCO$dXFF$dVVB$dIL4J6$dOCLCA$dOCLCO$dOKS$dOCLCO$dAAA$dUVA
015 $a87,A30,0401$2dnb
016 7 $a870818910$2DE-101
016 7 $a005953033$2Uk
019 $a1167040761$a1191415297$a1201011663
020 $a0387176942$q(U.S. ;$qpbk.)
020 $a9780387176949$q(U.S. ;$qpbk.)
020 $a3540176942
020 $a9783540176947
035 $a(OCoLC)15418712$z(OCoLC)1167040761$z(OCoLC)1191415297$z(OCoLC)1201011663
050 00 $aQA3$b.L28 no. 1245$aQA246
080 $a511
082 00 $a510 s$a512/.7$219
084 $a31.14$2bcl
084 $a*11F70$2msc
084 $a11-02$2msc
084 $a11F27$2msc
084 $a22-02$2msc
084 $a22E55$2msc
084 $a22E50$2msc
084 $aSI 850$2rvk
084 $a27$2sdnb
084 $aMAT 103f$2stub
084 $2msc$a11F70
100 1 $aRallis, Stephen,$d1942-
245 10 $aL-functions and the oscillator representation /$cStephen Rallis.
260 $aBerlin ;$aNew York :$bSpringer-Verlag,$c©1987.
300 $axiii, 238 pages ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aLecture notes in mathematics ;$v1245
504 $aIncludes bibliographical references (pages 237-238) and index.
505 0 $aNotation and preliminaries -- Special Eisenstein series on orthogonal groups -- Siegel formula revisited -- Inner product formulae -- Siegel formula -- Compact case -- Local l-factors -- Global theory.
520 $aThese notes are concerned with showing the relation between L-functions of classical groups (*F1 in particular) and *F2 functions arising from the oscillator representation of the dual reductive pair *F1 *F3 O(Q). The problem of measuring the nonvanishing of a *F2 correspondence by computing the Petersson inner product of a *F2 lift from *F1 to O(Q) is considered. This product can be expressed as the special value of an L-function (associated to the standard representation of the L-group of *F1) times a finite number of local Euler factors (measuring whether a given local representation occurs in a given oscillator representation). The key ideas used in proving this are (i) new Rankin integral representations of standard L-functions, (ii) see-saw dual reductive pairs and (iii) Siegel-Weil formula. The book addresses readers who specialize in the theory of automorphic forms and L-functions and the representation theory of Lie groups. N.
540 $aCurrent copyright fee: GBP19.00$c42\0.$5Uk
650 0 $aL-functions.
650 0 $aRepresentations of groups.
650 04 $aautomorf formák$xszámelmélet
650 04 $acsoportelmélet (matematika)$xtopológikus
650 6 $aFonctions L.
650 6 $aReprésentations de groupes.
650 7 $aL-functions.$2fast$0(OCoLC)fst00989693
650 7 $aRepresentations of groups.$2fast$0(OCoLC)fst01094938
650 7 $aGruppe$2gnd
650 7 $aAutomorphe Darstellung$2gnd
650 7 $aDarstellung$2gnd
650 7 $aL-Funktion$2gnd
650 7 $aOszillator$2gnd
650 7 $aAutomorphe Form$2gnd
650 7 $aDarstellung$gMathematik$2gnd
650 07 $aOscil·lacions.$2lemac
650 07 $aRepresentacions de grups.$2lemac
650 7 $aL-functions.$2nli
650 7 $aRepresentations of groups.$2nli
650 7 $aFonctions L.$2ram
650 7 $aReprésentations de groupes.$2ram
776 08 $iOnline version:$aRallis, Stephen, 1942-$tL-functions and the oscillator representation.$dBerlin ; New York : Springer-Verlag, ©1987$w(OCoLC)652350662
830 0 $aLecture notes in mathematics (Springer-Verlag) ;$v1245.
856 41 $3Table of contents$uhttp://www.gbv.de/dms/hbz/toc/ht002917628.pdf
856 41 $3Table of contents$uhttp://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000399956&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
856 41 $3Table of contents$uhttp://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2215136&custom_att_2=simple_viewer
856 42 $3Inhaltstext$uhttp://www.zentralblatt-math.org/zmath/en/search/?an=0605.10016
856 4 $3Cover$uhttp://swbplus.bsz-bw.de/bsz012747459cov.htm$v20110329100607
856 $31850-9999$uhttp://www.springer.com/gb/$xBLDSS
938 $aBaker & Taylor$bBKTY$c42.95$d42.95$i0387176942$n0001199238$sactive
938 $aBrodart$bBROD$n38536730$c$23.60
938 $aBaker and Taylor$bBTCP$n87004874$cDM42.50 (West Germany)
938 $aYBP Library Services$bYANK$n319688
029 1 $aAU@$b000005271780
029 1 $aDEBBG$bBV000641995
029 1 $aDEBSZ$b012747459
029 1 $aGBVCP$b024084174
029 1 $aGEBAY$b589680
029 1 $aHEBIS$b007501617
029 1 $aNLGGC$b037547127
029 1 $aNZ1$b3178827
029 1 $aYDXCP$b319688
029 1 $aZWZ$b020183585
029 1 $aUKMGB$b005953033
994 $aZ0$bIME
948 $hNO HOLDINGS IN IME - 297 OTHER HOLDINGS