Spectral Theory of Automorphic Functions and Its Applications / by Alexei B. Venkov
(Mathematics and Its Applications (Soviet Series) ; 51)
| データ種別 | 電子ブック |
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| 出版者 | Dordrecht : Springer Netherlands |
| 出版年 | 1990 |
| 本文言語 | 英語 |
| 大きさ | XIV, 176 p : online resource |
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| 内容注記 | 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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| 著者標目 | *Venkov, Alexei B. author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Algebra LCSH:Ordered algebraic structures LCSH:Partial differential equations LCSH:Convex geometry LCSH:Discrete geometry LCSH:Number theory FREE:Mathematics FREE:Number Theory FREE:Order, Lattices, Ordered Algebraic Structures FREE:Convex and Discrete Geometry FREE:Partial Differential Equations |
| 分 類 | DC23:512.7 |
| 巻冊次 | ISBN:9789400918924 
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| ISBN | 9789400918924 |
| URL | http://dx.doi.org/10.1007/978-94-009-1892-4 |
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