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Record Nr. |
UNINA9910788870503321 |
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Autore |
Barker William H. <1946-> |
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Titolo |
Lp harmonic analysis on SL (2, R) / / William H. Barker |
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Pubbl/distr/stampa |
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Providence, Rhode Island, United States : , : American Mathematical Society, , 1988 |
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©1988 |
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ISBN |
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Descrizione fisica |
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1 online resource (118 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 76, Number 393 |
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Disciplina |
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Soggetti |
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Harmonic analysis |
Semisimple Lie groups |
Representations of Lie groups |
Lp spaces |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"November 1988, Volume 76, Number 393 (end of volume )"--Cover. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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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