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$L^p$ Harmonic Analysis on $SL(2,{\mathbb R})$
| eBook ISBN: | 978-1-4704-0813-8 |
| 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: | 978-1-4704-0813-8 |
| Product Code: | MEMO/76/393.E |
| List Price: | $21.00 |
| MAA Member Price: | $18.90 |
| AMS Member Price: | $12.60 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 76; 1988; 110 ppMSC: Primary 22
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Table of Contents
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Chapters
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1. Introduction
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2. Notation and preliminaries
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3. The $L^p$ Schwartz spaces
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4. The principal series
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5. The discrete series
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6. Leading exponents and distributions
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7. Relationships between principal and discrete series matrix coefficients
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8. The Trombi-Varadarajan estimates for $\textrm {SL}(2, \mathbb {R})$
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9. The Fourier transform on $\mathcal {C}^p(G)$
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10. The Plancherel inversion formula
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11. The decomposition of $\mathcal {C}^p(G)$
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12. Asymptotic approximation of matrix coefficients
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13. Growth of asymptotic coefficients for the principal series
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14. Calculation of asymptotic coefficents for the discrete series
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15. The inverse transform
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16. The isomorphism theorem: Non-integral case
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17. The Campoli functions
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18. The isomorphism theorem: General case
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19. The zero-Schwartz space (with Henrik Schlichtkrull)
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
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 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)
Review Copy – for publishers of book reviews
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