The Selberg trace formula for PSL (2, IR) /
| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin ; New York :
Springer-Verlag,
1976-
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1001 Lecture notes in mathematics (Springer-Verlag) ; 548 Lecture notes in mathematics (Springer-Verlag) ; 548, etc Lecture notes in mathematics (Springer-Verlag) 548, etc |
| Subjects: |
Table of Contents:
- The trace formula for compact Riemann surfaces
- The Selberg zeta function
- The trace formula for vector-valued functions
- The trace formula for automorphic forms of weight m
- The Selberg trace formula for modular correspondences
- Development of the trace formula (version A)
- Poincaré series and the spectral decomposition of L₂ ([gamma] \ H, [chi])
- Version B of the Selberg trace formula
- Version C of the Selberg trace formula
- Selected applications
- Some examples
- Appendix A: Some remarks concerning the asymptotic behavior of hypergeometric functions
- Appendix B: On the analog of Poisson's equations
- Appendix C: Eigenvalues of the non-Euclidean Laplacian for PSL (2, Z)
- Appendix D: Fourier coefficients for modular forms of negative weight
- Appendix E: Some estimates related to Kloosterman sums
- Appendix F: An alternate approach to the analytic continuation of E(z;s;[chi])