Barker, W. <br/><br/>
Lp Harmonic Analysis of Sl on SL(2,R). 

 - 1st ed. 
 - 1 online resource (118 pages) 
 - Memoirs of the American Mathematical Society ;  v.76 .
 - Memoirs of the American Mathematical Society .
<br/><br/>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. 
<br/><br/><label>ISBN: </label>9781470408138 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Harmonic analysis.<br/>Semisimple Lie groups.<br/>Representations of Lie groups.<br/>Lp spaces.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA3 -- .B375 1988eb 
<br/><br/><label>Dewey Class. No.: </label>515/.2433