We derive upper Gaussian bounds for the heat kernel on complete, non-compact locally symmetric spaces M = Γ\X with non-positive curvature. Our bounds contain the Poincare ́ series of the discrete group Γ and therefore we also provide upper bounds for this series.
Abstract. A theorem of Hardy characterizes the Gauss kernel (heat kernel of the Laplacian) on R from...
In the setting of a manifold with doubling property satisfying a Gaussian upper estimate of the heat...
Let X = G=K be a noncompact Riemannian symmetric space. Although basic har-monic analysis on X has b...
In this work we derive upper Gaussian bounds for the heat kernel on locally symmetric spaces of non-...
In this work we derive upper Gaussian bounds for the heat kernel on locally symmetric spaces of non-...
The heat kernel plays a central role in mathematics. It occurs in several fields: analysis, geometry...
The heat kernel plays a central role in mathematics. It occurs in several elds: analysis, geometry a...
((Without Abstract)).Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/41850/1/39-9-6-103...
We prove genuinely sharp two-sided global estimates for heat kernels on all compact rank-one symmetr...
Let M be a smooth connected non-compact geodesically complete Riemannian manifold, ? denote the Lapl...
Abstract. For symmetric spaces of noncompact type we prove an analogue of Hardy’s theorem which char...
This thesis deals with sharp heat kernel estimates in two related settings. We consider first noncom...
AbstractWe obtain a gaussian lower bound for the heat kernel associated to −ΔD + ∂∂t, where ΔD is th...
Solvable extensions of H-type groups provide a unified approach to noncompact symmetric spaces of ra...
AbstractWe describe a method of obtaining Gaussian upper bounds on heat kernels which unifies and im...
Abstract. A theorem of Hardy characterizes the Gauss kernel (heat kernel of the Laplacian) on R from...
In the setting of a manifold with doubling property satisfying a Gaussian upper estimate of the heat...
Let X = G=K be a noncompact Riemannian symmetric space. Although basic har-monic analysis on X has b...
In this work we derive upper Gaussian bounds for the heat kernel on locally symmetric spaces of non-...
In this work we derive upper Gaussian bounds for the heat kernel on locally symmetric spaces of non-...
The heat kernel plays a central role in mathematics. It occurs in several fields: analysis, geometry...
The heat kernel plays a central role in mathematics. It occurs in several elds: analysis, geometry a...
((Without Abstract)).Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/41850/1/39-9-6-103...
We prove genuinely sharp two-sided global estimates for heat kernels on all compact rank-one symmetr...
Let M be a smooth connected non-compact geodesically complete Riemannian manifold, ? denote the Lapl...
Abstract. For symmetric spaces of noncompact type we prove an analogue of Hardy’s theorem which char...
This thesis deals with sharp heat kernel estimates in two related settings. We consider first noncom...
AbstractWe obtain a gaussian lower bound for the heat kernel associated to −ΔD + ∂∂t, where ΔD is th...
Solvable extensions of H-type groups provide a unified approach to noncompact symmetric spaces of ra...
AbstractWe describe a method of obtaining Gaussian upper bounds on heat kernels which unifies and im...
Abstract. A theorem of Hardy characterizes the Gauss kernel (heat kernel of the Laplacian) on R from...
In the setting of a manifold with doubling property satisfying a Gaussian upper estimate of the heat...
Let X = G=K be a noncompact Riemannian symmetric space. Although basic har-monic analysis on X has b...