Lp harmonic analysis on SL (2, R)

by Barker, William H.

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Title Statements

Full title :Lp harmonic analysis on SL (2, R) / William H. Barker.

Edition Statements

Publication Date:©1988

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence, Rhode Island, United States
Language:eng
Publication Date:©1988

Notes

"November 1988, Volume 76, Number 393 (end of volume)"--Cover

The Physical Object

Description:1 online resource (118 pages)

Edition Identifiers

ISBN:9781470408138, 1470408139
oclc:ocn891385209
LC Classification:QA3
Dewey Decimal:515/.2433

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 Series14. 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

Subjects

Analyse harmonique Espaces Lp Fourier analysis Groupes de Lie semi-simples Harmonic analysis Lp spaces Représentations des groupes de Lie Representations of Lie groups Semisimple lie groups