Author | Venkov, Alexei B. author |
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Title | Spectral Theory of Automorphic Functions and Its Applications [electronic resource] / by Alexei B. Venkov |
Imprint | Dordrecht : Springer Netherlands, 1990 |
Connect to | http://dx.doi.org/10.1007/978-94-009-1892-4 |
Descript | XIV, 176 p. online resource |
1. Introduction -- 2. What Does One Need Automorphic Functions for? Some Remarks or a Pragmatic Reader -- 3. Harmonic Analysis of Periodic Functions. The HardyโVorono? 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