Spectral Convergence for Degenerating Sequences of Three Dimensional Hyperbolic Manifolds

DOI10.1090/S0002-9947-96-01667-4zbMath0865.58046OpenAlexW1567613083MaRDI QIDQ4890024

Lizhen Ji

Publication date: 15 October 1996

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01667-4

zbMATH Keywords

convergenceeigenfunctionsheat kernelspectral measurefinite volumeLaplacian3-dimensional hyperbolic manifoldsdegenerating sequences

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; eigenvalue problems on manifolds (58C40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Volumes of hyperbolic three-manifolds
• Asymptotics of the spectrum and the Selberg zeta function on the space of Riemann surfaces
• Spectral limits for hyperbolic surfaces. I
• Spectral degeneration of hyperboloc Riemann surfaces
• The asymptotic behavior of Green's functions for degenerating hyperbolic surfaces
• The spectrum of degenerating hyperbolic 3-manifolds
• Disappearance of cusp forms in special families
• Convergence theorems for relative spectral functions on hyperbolic Riemann surfaces of finite volume
• The remainder estimate in spectral accumulation for degenerating hyperbolic surfaces
• Spectral Theory and Eisenstein Series for Kleinian Groups
• Convergence de variétés et convergence du spectre du laplacien
• Elliptic Partial Differential Equations of Second Order
• Convergence of Heat Kernels For Degenerating Hyperbolic Surfaces
• The Spectrum of the Hodge Laplacian for a Degenerating Family of Hyperbolic Three Manifolds
• Regular 𝑏-groups, degenerating Riemann surfaces, and spectral theory

This page was built for publication: Spectral Convergence for Degenerating Sequences of Three Dimensional Hyperbolic Manifolds