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Regular $b$-groups, degenerating Riemann surfaces, and spectral theory
About this Title
Dennis A. Hejhal
Publication: Memoirs of the American Mathematical Society
Publication Year:
1990; Volume 88, Number 437
ISBNs: 978-0-8218-2499-3 (print); 978-1-4704-0860-2 (online)
DOI: https://doi.org/10.1090/memo/0437
MathSciNet review: 1052555
MSC: Primary 11F72; Secondary 14H15, 32G15, 58G25
Table of Contents
Chapters
- Introduction
- 1. Riemann surfaces with nodes and regular b-groups
- 2. The space $\mathcal {M}_g$
- 3. Convergence of Green’s functions (part one)
- 4. Collars and nodal neighborhoods
- 5. An apriori bound for prime geodesics
- 6. Convergence of Green’s functions (part two)
- 7. Continuity properties of small eigenvalues
- 8. Asymptotic properties of the Selberg zeta function
- 9. An analog of Weyl’s law