TY  - BOOK
AU  - Barker,W.
TI  - Lp Harmonic Analysis of Sl on SL(2,R)
T2  - Memoirs of the American Mathematical Society
SN  - 9781470408138
AV  - QA3 -- .B375 1988eb 
U1  - 515/.2433 
PY  - 1988///
CY  - Providence
PB  - American Mathematical Society
KW  - Harmonic analysis
KW  - Semisimple Lie groups
KW  - Representations of Lie groups
KW  - Lp spaces
KW  - Electronic books
N1  - Intro -- 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114005
ER  -