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Lp harmonic analysis on SL (2, R) /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Barker, William H., 1946- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island, United States : American Mathematical Society, 1988.
Colección:Memoirs of the American Mathematical Society ; Volume 76, no. 393.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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