Regular 𝑏-groups, degenerating Riemann surfaces, and spectral theory

DOI10.1090/memo/0437zbMath0718.11024OpenAlexW1988449324MaRDI QIDQ5749358

Dennis A. Hejhal

Publication date: 1990

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0437

zbMATH Keywords

Riemann surfacesKleinian groupsautomorphic Green's functionssmall eigenvaluesSelberg zeta functionsregular b-groupsnon-Euclidean Laplacian

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

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