Spectral theory of automorphic functions and its applications

by Alexei B. Venkov ; [translated by N.B. Lebedinskaya]


  • 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.

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書名 Spectral theory of automorphic functions and its applications
著作者等 Venkov, A. B.
書名別名 Spektralʹnai︠a︡ teorii︠a︡ avtomorfnykh funkt︠s︡iĭ

Спектральная теория автоморфных функций
シリーズ名 Mathematics and its applications
出版元 Kluwer Academic Publishers
刊行年月 c1990
ページ数 xiv, 176 p.
大きさ 25 cm
ISBN 079230487X
NCID BA11394615
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言語 英語
原文言語 ロシア語
出版国 オランダ