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Lp harmonic analysis on SL (2, R) / [electronic resource] William H. Barker.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 393Publication details: Providence, R.I., USA : American Mathematical Society, [1988]Description: 1 online resource (iv, 110 p.)ISBN:
  • 9781470408138 (online)
Subject(s): Additional physical formats: Lp harmonic analysis on SL (2, R) /DDC classification:
  • 510 s 515/.2433 19
LOC classification:
  • QA3 .A57 no. 393 QA403
Online resources:
Contents:
1. Introduction 2. Notation and preliminaries 3. The $L^p$ 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 $\textrm {SL}(2, \mathbb {R})$ 9. The Fourier transform on $\mathcal {C}^p(G)$ 10. The Plancherel inversion formula 11. The decomposition of $\mathcal {C}^p(G)$ 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)
Item type: E-BOOKS
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IMSc Library IMSc Library Link to resource Available EBK12846

"November 1988."

"Volume 76 ... (end of volume)."

Bibliography: p. 109-110.

1. Introduction 2. Notation and preliminaries 3. The $L^p$ 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 $\textrm {SL}(2, \mathbb {R})$ 9. The Fourier transform on $\mathcal {C}^p(G)$ 10. The Plancherel inversion formula 11. The decomposition of $\mathcal {C}^p(G)$ 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)

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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