LEADER 03036nam 2200637 450 001 996466515403316 005 20220910125547.0 010 $a3-540-47761-6 024 7 $a10.1007/BFb0077894 035 $a(CKB)1000000000437560 035 $a(SSID)ssj0000324407 035 $a(PQKBManifestationID)12080848 035 $a(PQKBTitleCode)TC0000324407 035 $a(PQKBWorkID)10305402 035 $a(PQKB)10032975 035 $a(DE-He213)978-3-540-47761-7 035 $a(MiAaPQ)EBC5578204 035 $a(Au-PeEL)EBL5578204 035 $a(OCoLC)1066178815 035 $a(MiAaPQ)EBC6841939 035 $a(Au-PeEL)EBL6841939 035 $a(OCoLC)1292362838 035 $a(PPN)155192043 035 $a(EXLCZ)991000000000437560 100 $a20220910d1987 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aL functions and the oscillator representation /$fStephen Rallis 205 $a1st ed. 1987. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer-Verlag,$d[1987] 210 4$d©1987 215 $a1 online resource (XVI, 240 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1245 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-17694-2 311 $a3-540-17694-2 327 $aNotation and preliminaries -- Special Eisenstein series on orthogonal groups -- Siegel formula revisited -- Inner product formulae -- Siegel formula ? Compact case -- Local l-factors -- Global theory. 330 $aThese notes are concerned with showing the relation between L-functions of classical groups (*F1 in particular) and *F2 functions arising from the oscillator representation of the dual reductive pair *F1 *F3 O(Q). The problem of measuring the nonvanishing of a *F2 correspondence by computing the Petersson inner product of a *F2 lift from *F1 to O(Q) is considered. This product can be expressed as the special value of an L-function (associated to the standard representation of the L-group of *F1) times a finite number of local Euler factors (measuring whether a given local representation occurs in a given oscillator representation). The key ideas used in proving this are (i) new Rankin integral representations of standard L-functions, (ii) see-saw dual reductive pairs and (iii) Siegel-Weil formula. The book addresses readers who specialize in the theory of automorphic forms and L-functions and the representation theory of Lie groups. N. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1245 606 $aRepresentations of groups$vCongresses 606 $aNumber theory 615 0$aRepresentations of groups 615 0$aNumber theory. 676 $a512.7 686 $a10D05$2msc 700 $aRallis$b Stephen$f1942-$056906 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466515403316 996 $aL-functions and the oscillator representation$978526 997 $aUNISA LEADER 01536oam 2200397Ia 450 001 9910697578903321 005 20090625111849.0 035 $a(CKB)5470000002389161 035 $a(OCoLC)327631777 035 $a(EXLCZ)995470000002389161 100 $a20090520d2008 ua 0 101 0 $aeng 135 $aurnn||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn assessment of the science and technology predictions in the Army's STAR21 report$b[electronic resource] /$fJohn Lyons, Richard Chait, and Jordan Willcox 210 1$aWashington, DC :$cCenter for Technology and National Security Policy, National Defense University,$d[2008] 215 $avi, 36 pages $cdigital, PDF file 225 1 $aDefense & technology papers ;$vno. 50 300 $aTitle from PDF title page (viewed on May 20, 2009). 300 $a"July 2008." 320 $aIncludes bibliographical references. 606 $aMilitary research$xForecasting$xEvaluation 615 0$aMilitary research$xForecasting$xEvaluation. 700 $aLyons$b John W.$f1930-$014028 701 $aChait$b Richard$f1937-$01393694 701 $aWillcox$b Jordan$01412929 712 02$aNational Defense University.$bCenter for Technology and National Security Policy. 801 0$bAWC 801 1$bAWC 801 2$bGPO 906 $aBOOK 912 $a9910697578903321 996 $aAn assessment of the science and technology predictions in the Army's STAR21 report$93508087 997 $aUNINA LEADER 00930nam0 22002531i 450 001 UON00199247 005 20231205103245.659 100 $a20030730d1946 |0itac50 ba 101 $ager 102 $aDE 105 $a|||| ||||| 200 1 $aˆDie ‰Pitt's und die fox$evater und sohne zwei paar verschlungener lebenslaufe$fErich Ayck 210 $aErlenbach$aZurich$cE. Rentsch$d1946 215 $a500 p.$d23 cm. 620 $aCH$dZürich$3UONL003145 620 $dErlenbach$3UONL003398 700 1$aAYCK$bErich$3UONV118768$0679741 712 $aRentsch$3UONV266932$4650 801 $aIT$bSOL$c20240220$gRICA 899 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$2UONSI 912 $aUON00199247 950 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$dSI III STORIAEUR C C 0085 $eSI MR 53684 5 0085 996 $aPitt's und die fox$91252898 997 $aUNIOR