Spectral limits for hyperbolic surfaces. I

DOI10.1007/BF02100600zbMath0772.11016OpenAlexW4246164979MaRDI QIDQ1207422

Scott A. Wolpert

Publication date: 1 April 1993

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143989

zbMATH Keywords

spectrumgeodesicseigenfunctionsLaplace-Beltrami operatorRiemann surfacepinching

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

Cusp forms for character varieties, Zeta functions and periodic orbit theory: A review, Dissolving a cusp form in the presence of multiplicities, Equiboundedness of the Weil-Petersson metric, Degeneration of globally hyperbolic maximal anti-de Sitter structures along pinching sequences, Hyperbolic triangles without embedded eigenvalues, Grafting hyperbolic metrics and Eisenstein series, Spectral Convergence for Degenerating Sequences of Three Dimensional Hyperbolic Manifolds, On largeness and multiplicity of the first eigenvalue of finite area hyperbolic surfaces, Spectral limits for hyperbolic surfaces. II, Degeneration of Pseudo-Laplace Operators for Hyperbolic Riemann Surfaces, On the Existence of Maass Cusp Forms on Hyperbolic Surfaces with Cone Points, Convergence of Heat Kernels For Degenerating Hyperbolic Surfaces, Spectral theory of Laplacians for Hecke groups with primitive character, Spectra of hyperbolic surfaces, Harmonic differentials and infinite geodesic joining two punctures on a Riemann surface, The eigenvalues of the Laplacian on domains with small slits, Extension of the Weil-Petersson connection, Relationship between the discrete and resonance spectrum for the Laplace operator on a noncompact hyperbolic Riemann surface, Topological properties of eigenfunctions of Riemannian surfaces, Riemann’s zeta function and beyond, The asymptotic behavior of Green's functions for degenerating hyperbolic surfaces

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