LEADER 02796nam 2200601 450 001 9910788870503321 005 20170918221657.0 010 $a1-4704-0813-9 035 $a(CKB)3360000000464577 035 $a(EBL)3114005 035 $a(SSID)ssj0000889047 035 $a(PQKBManifestationID)11479153 035 $a(PQKBTitleCode)TC0000889047 035 $a(PQKBWorkID)10875982 035 $a(PQKB)11522756 035 $a(MiAaPQ)EBC3114005 035 $a(RPAM)2910760 035 $a(PPN)195412761 035 $a(EXLCZ)993360000000464577 100 $a20140908h19881988 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLp harmonic analysis on SL (2, R) /$fWilliam H. Barker 210 1$aProvidence, Rhode Island, United States :$cAmerican Mathematical Society,$d1988. 210 4$dİ1988 215 $a1 online resource (118 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 76, Number 393 300 $a"November 1988, Volume 76, Number 393 (end of volume )"--Cover. 311 $a0-8218-2456-2 320 $aIncludes bibliographical references. 327 $a""Table of Contents""; ""1. Introduction""; ""2. Notation and Preliminaries""; ""3. The L[sup(p)] Schwartz Spaces""; ""4. The Principal Series""; ""5. The Discrete Series""; ""6. Leading Exponents and Distributions""; ""7. Relationships between Principal and Discrete Series Matrix Coefficients""; ""8. The Trombi-Varadarajan Estimates for SL(2, R)""; ""9. The Fourier Transform on C[sup(P)](G)""; ""10. The Plancherel Inversion Formula""; ""11. The Decomposition of C[sup(P)](G)""; ""12. Asymptotic Approximation of Matrix Coefficients"" 327 $a""13. Growth of Asymptotic Coefficients for the Principal Series""""14. Calculation of Asymptotic Coefficents for the Discrete Series""; ""15. The Inverse Transform""; ""16. The Isomorphism Theorem: Non-Integral Case""; ""17. The Campoli Functions""; ""18. The Isomorphism Theorem: General Case""; ""19. The Zero-Schwartz Space (with Henrik Schlichtkrull)""; ""List of Notation""; ""References"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 76, Number 393. 606 $aHarmonic analysis 606 $aSemisimple Lie groups 606 $aRepresentations of Lie groups 606 $aLp spaces 615 0$aHarmonic analysis. 615 0$aSemisimple Lie groups. 615 0$aRepresentations of Lie groups. 615 0$aLp spaces. 676 $a515/.2433 700 $aBarker$b William H.$f1946-$01486165 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788870503321 996 $aLp harmonic analysis on SL (2, R)$93705576 997 $aUNINA