Convergence theorems for relative spectral functions on hyperbolic Riemann surfaces of finite volume

DOI10.1215/S0012-7094-95-08027-2zbMath0973.58016OpenAlexW1514122924MaRDI QIDQ1911605

Rolf E. Lundelius, Jay A. Jorgenson

Publication date: 13 March 2001

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-95-08027-2

zbMATH Keywords

spectral invariantsrelative determinanthyperbolic Riemann surfaces of finite volumerelative Selberg zeta functionrelative spectral zeta function

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Determinants and determinant bundles, analytic torsion (58J52) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (10)

Uniform Sup-Norm Bounds on Average for Cusp Forms of Higher Weights ⋮ Convergence of the normalized spectral counting function on degenerating hyperbolic Riemann surfaces of finite volume ⋮ On the asymptotic behavior of counting functions associated to degenerating hyperbolic Riemann surfaces ⋮ The determinant of the Lax-Phillips scattering operator ⋮ Continuity of relative hyperbolic spectral theory through metric degeneration ⋮ Analytic torsion for surfaces with cusps. I: Compact perturbation theorem and anomaly formula ⋮ Spectral Convergence for Degenerating Sequences of Three Dimensional Hyperbolic Manifolds ⋮ Effective bounds for Faltings's delta function ⋮ Convergence of Heat Kernels For Degenerating Hyperbolic Surfaces ⋮ Superzeta functions, regularized products, and the Selberg zeta function on hyperbolic manifolds with cusps

Cites Work

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