Spectral Theory of Automorphic Functions

Inhaltsverzeichnis

• 1. Introduction.
• 2. What Does One Need Automorphic Functions for? Some Remarks or a Pragmatic Reader.
• 3. Harmonic Analysis of Periodic Functions. The Hardy—Vorono? Formula.
• 4. Expansion in Eigenfunctions of the Automorphic Laplacian on the Lobachevsky Plane.
• 5. Harmonic Analysis of Automorphic Functions. Estimates for Fourier Coefficients of Parabolic Forms of Weight Zero.
• 6. The Selberg Trace Formula for Fuchsian Groups of the First Kind.
• 7. The Theory of the Selberg Zeta-Function.
• 8. Problems in the Theory of the Discrete Spectrum of Automorphic Laplacians.
• 9. The Spectral Moduli Problem.
• 10. Automorphic Functions and the Kummer Problem.
• 11. The Selberg Trace Formula on the Reductive Lie Groups.
• 12. Automorphic Functions, Representations and L-functions.
• 13. Remarks and Comments. Annotations to the Cited Literature.
• References.
• Appendix 1. Monodromy Groups and Automorphic Functions.
• Appendix 2. Automorphic Functions for Effective Solutions of Certain Issues of the Riemann-Hilbert Problem.
• Author Index.