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Spectral Methods of Automorphic Forms: Second Edition

About this Title

Henryk Iwaniec, Rutgers University, Piscataway, NJ

Publication: Graduate Studies in Mathematics
Publication Year: 2002; Volume 53
ISBNs: 978-0-8218-3160-1 (print); 978-1-4704-1798-7 (online)
DOI: https://doi.org/10.1090/gsm/053
MathSciNet review: MR1942691
MSC: Primary 11F72; Secondary 11F12, 11F37

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Table of Contents

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Front/Back Matter

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Chapters

• Introduction
• Chapter 0. Harmonic analysis on the Euclidean plane
• Chapter 1. Harmonic analysis on the hyperbolic plane
• Chapter 2. Fuchsian groups
• Chapter 3. Automorphic forms
• Chapter 4. The spectral theorem. Discrete part
• Chapter 5. The automorphic Green function
• Chapter 6. Analytic continuation of the Eisenstein series
• Chapter 7. The spectral theorem. Continuous part
• Chapter 8. Estimates for the Fourier coefficients of Maass forms
• Chapter 9. Spectral theory of Kloosterman sums
• Chapter 10. The trace formula
• Chapter 11. The distribution of eigenvalues
• Chapter 12. Hyperbolic lattice-point problems
• Chapter 13. Spectral bounds for cusp forms
• Appendix A. Classical analysis
• Appendix B. Special functions