A regularized heat trace for hyperbolic Riemann surfaces of finite volume

Jay Jorgenson, Rolf Lundelius

Type: Article

Publication Date: 1997-12-01

Citations: 21

DOI: https://doi.org/10.1007/s000140050039

Abstract

Let M denote a hyperbolic Riemann surface of finite volume, and let K M (t, x, y) be the heat kernel associated to the hyperbolic Laplacian which acts on the space of smooth functions on M .If M is compact, then we have the equality

Locations

Commentarii Mathematici Helvetici - View - PDF

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+	Artin Formalism and Heat Kernels	2001	Serge Lang
+ PDF Chat	On determinants of Laplacians on Riemann surfaces	1986	Eric D’Hoker D. H. Phong
+	Regular 𝑏-groups, degenerating Riemann surfaces, and spectral theory	1990	Dennis A. Hejhal
+	Spectral Theory for Riemannian Manifolds with Cusps and a Related Trace Formula	1983	Werner Müller
+	CONVERGENCE OF THE HEAT KERNEL AND THE RESOLVENT KERNEL ON DEGENERATING HYPERBOLIC RIEMANN SURFACES OF FINITE VOLUME	1995	Jay Jorgenson Rolf Lundelius
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+	Selberg's trace formula as applied to a compact riemann surface	1972	H. P. McKean