Automorphic forms on SL₂(R) /
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| Author / Creator: | Borel, Armand. |
|---|---|
| Imprint: | Cambridge, U.K. ; New York, NY, USA : Cambridge University Press, 1997. |
| Description: | x, 192 p. ; 24 cm. |
| Language: | English |
| Series: | Cambridge tracts in mathematics. 130 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/2761962 |
Table of Contents:
- Part I. Basic Material On SL2(R), Discrete Subgroups and the Upper-Half Plane
- 1. Prerequisites and notation
- 2. Review of SL2(R), differential operators, convolution
- 3. Action of G on X, discrete subgroups of G, fundamental domains
- 4. The unit disc model
- Part II. Automorphic Forms and Cusp Forms
- 5. Growth conditions, automorphic forms
- 6. Poincare series
- 7. Constant term:the fundamental estimate
- 8. Finite dimensionality of the space of automorphic forms of a given type
- 9. Convolution operators on cuspidal functions
- Part III. Eisenstein Series
- 10. Definition and convergence of Eisenstein series
- 11. Analytic continuation of the Eisenstein series
- 12. Eisenstein series and automorphic forms orthogonal to cusp forms
- Part IV. Spectral Decomposition and Representations
- 13. Spectral decomposition of L2(G G)m with respect to C
- 14. Generalities on representations of G
- 15. Representations of SL2(R)
- 16. Spectral decomposition of L2(G SL2(R)):the discrete spectrum
- 17. Spectral decomposition of L2(G SL2(R)): the continuous spectrum
- 18. Concluding remarks