02799nam 2200601 450 991048052700332120170918221657.01-4704-0813-9(CKB)3360000000464577(EBL)3114005(SSID)ssj0000889047(PQKBManifestationID)11479153(PQKBTitleCode)TC0000889047(PQKBWorkID)10875982(PQKB)11522756(MiAaPQ)EBC3114005(PPN)195412761(EXLCZ)99336000000046457720140908h19881988 uy 0engur|n|---|||||txtccrLp harmonic analysis on SL (2, R) /William H. BarkerProvidence, Rhode Island, United States :American Mathematical Society,1988.©19881 online resource (118 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 76, Number 393"November 1988, Volume 76, Number 393 (end of volume )"--Cover.0-8218-2456-2 Includes bibliographical references.""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""""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""Memoirs of the American Mathematical Society ;Volume 76, Number 393.Harmonic analysisSemisimple Lie groupsRepresentations of Lie groupsLp spacesElectronic books.Harmonic analysis.Semisimple Lie groups.Representations of Lie groups.Lp spaces.515/.2433Barker William H.1946-957978MiAaPQMiAaPQMiAaPQBOOK9910480527003321Lp harmonic analysis on SL (2, R)2170302UNINA