Convergence of Heat Kernels For Degenerating Hyperbolic Surfaces

DOI10.2307/2160924zbMath0813.58057OpenAlexW4254542577WikidataQ124985986 ScholiaQ124985986MaRDI QIDQ4318452

Lizhen Ji

Publication date: 6 June 1995

Full work available at URL: https://doi.org/10.2307/2160924

zbMATH Keywords

heat kerneldegenerate hyperbolic surfaces

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (2)

Spectral Convergence for Degenerating Sequences of Three Dimensional Hyperbolic Manifolds ⋮ Surfaces with boundary: their uniformizations, determinants of Laplacians, and isospectrality

Cites Work

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• On the parabolic kernel of the Schrödinger operator
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• Spectral limits for hyperbolic surfaces. I
• Spectral degeneration of hyperboloc Riemann surfaces
• The asymptotic behavior of Green's functions for degenerating hyperbolic surfaces
• Convergence theorems for relative spectral functions on hyperbolic Riemann surfaces of finite volume
• R-torsion and the Laplacian on Riemannian manifolds
• Regular 𝑏-groups, degenerating Riemann surfaces, and spectral theory

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