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AuthorVenkov, Alexei B. author
TitleSpectral Theory of Automorphic Functions and Its Applications [electronic resource] / by Alexei B. Venkov
ImprintDordrecht : Springer Netherlands, 1990
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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 Hardyโ{128}{148}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

Mathematics Algebra Ordered algebraic structures Partial differential equations Convex geometry Discrete geometry Number theory Mathematics Number Theory Order Lattices Ordered Algebraic Structures Convex and Discrete Geometry Partial Differential Equations


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