Lp Harmonic Analysis of Sl on SL(2,R).
Material type:
TextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1988Copyright date: ©1988Edition: 1st edDescription: 1 online resource (118 pages)Content type: - text
- computer
- online resource
- 9781470408138
- 515/.2433
- QA3 -- .B375 1988eb
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.
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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