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$L^p$ Harmonic Analysis on $SL(2,{\mathbb R})$
eBook ISBN:  9781470408138 
Product Code:  MEMO/76/393.E 
List Price:  $21.00 
MAA Member Price:  $18.90 
AMS Member Price:  $12.60 
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$L^p$ Harmonic Analysis on $SL(2,{\mathbb R})$
eBook ISBN:  9781470408138 
Product Code:  MEMO/76/393.E 
List Price:  $21.00 
MAA Member Price:  $18.90 
AMS Member Price:  $12.60 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 76; 1988; 110 ppMSC: Primary 22

Table of Contents

Chapters

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 TrombiVaradarajan 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: Nonintegral case

17. The Campoli functions

18. The isomorphism theorem: General case

19. The zeroSchwartz space (with Henrik Schlichtkrull)


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Chapters

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 TrombiVaradarajan 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: Nonintegral case

17. The Campoli functions

18. The isomorphism theorem: General case

19. The zeroSchwartz space (with Henrik Schlichtkrull)
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