Spectral Theory of Automorphic Functions: and Its Applications (Mathematics and its Applications, 51, Band 51) - Hardcover

Venkov, A.B.

 
9780792304876: Spectral Theory of Automorphic Functions: and Its Applications (Mathematics and its Applications, 51, Band 51)
Hardcover
ISBN 10: 079230487X ISBN 13: 9780792304876
Verlag: Springer, 1990

Inhaltsangabe

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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Verlag
Springer
Erscheinungsdatum
1990
Sprache
Englisch
ISBN 10 
079230487X
ISBN 13 
9780792304876
Einband
Gebundene Ausgabe
Anzahl der Seiten
190
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Softcover