CONVERGENCE OF THE HEAT KERNEL AND THE RESOLVENT KERNEL ON DEGENERATING HYPERBOLIC RIEMANN SURFACES OF FINITE VOLUME

DOI10.1080/16073606.1995.9631808zbMath0853.58099OpenAlexW1996860282MaRDI QIDQ4863767

Rolf E. Lundelius, Jay A. Jorgenson

Publication date: 28 January 1996

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

Full work available at URL: https://doi.org/10.1080/16073606.1995.9631808

zbMATH Keywords

Laplace operatorheat kernelhyperbolic Riemannian surfaces

Mathematics Subject Classification ID

Heat equation (35K05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

On the Kähler metrics over \(\operatorname{Sym}^d(X)\) ⋮ Convergence theorems for relative spectral functions on hyperbolic Riemann surfaces of finite volume ⋮ 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 ⋮ Off-diagonal estimates of the Bergman kernel on hyperbolic Riemann surfaces of finite volume ⋮ Estimates of Bergman kernels and Bergman metric on compact Picard surfaces ⋮ Estimates of the Bergman kernel on a hyperbolic Riemann surface of finite volume. II ⋮ Estimates of automorphic cusp forms over quaternion algebras ⋮ On the appearance of Eisenstein series through degeneration ⋮ Spectral asymptotics on sequences of elliptically degenerating Riemann surfaces

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