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.
