HEAT KERNEL BOUNDS, POINCARÉ SERIES, AND L2 SPECTRUM FOR LOCALLY SYMMETRIC SPACES-Reference-Cited by-同舟云学术

HEAT KERNEL BOUNDS, POINCARÉ SERIES, AND L2 SPECTRUM FOR LOCALLY SYMMETRIC SPACES

Published:2008-08 Issue:1 Volume:78 Page:73-86
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

WEBER ANDREAS

Abstract

AbstractWe derive upper Gaussian bounds for the heat kernel on complete, noncompact locally symmetric spaces M=Γ∖X with nonpositive curvature. Our bounds contain the Poincaré series of the discrete group Γ and therefore we also provide upper bounds for this series.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference19 articles.

1. Estimates of heat kernels on Riemannian manifolds

2. The limit set of a Fuchsian group

3. Large time behavior of the heat kernel: the parabolic λ-potential alternative

4. Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. Teil I

5. Large Time Behavior of the Heat Equation on Complete Manifolds with Non-Negative Ricci Curvature

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