E-Book, Englisch, Band 51, 176 Seiten, eBook
Venkov Spectral Theory of Automorphic Functions
Erscheinungsjahr 2012
ISBN: 978-94-009-1892-4
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark
and Its Applications
E-Book, Englisch, Band 51, 176 Seiten, eBook
Reihe: Mathematics and its Applications
ISBN: 978-94-009-1892-4
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
