On a theorem of M. Itô
The note gives a simple proof of a result of M. Itô, stating that the set of divisors of a convolution kernel is a convex cone.
On boundary Harnack principles and poles of extremal harmonic functions.
On Brownian and Poissonian Convolution Semigroups on the Infinite Dimensional Torus
On exit laws for semigroups in weak duality
Let be a measurable semigroup and a -finite positive measure on a Lusin space . An -exit law for is a family of nonnegative measurable functions on which are finite -a.e. and satisfy for each
On the analytic structure of harmonic groups.
On the Existence of a Green Function for Harmonie Spaces.
On the Existence of Sub-Markovian Resolvents.
On the identity of Keldych solutions
On the integral representation of finely superharmonic functions
In the present paper we study the integral representation of nonnegative finely superharmonic functions in a fine domain subset of a Brelot -harmonic space with countable base of open subsets and satisfying the axiom . When satisfies the hypothesis of uniqueness, we define the Martin boundary of and the Martin kernel and we obtain the integral representation of invariant functions by using the kernel . As an application of the integral representation we extend to the cone of nonnegative...
On the Martin compactification of a bounded Lipschitz domain in a riemannian manifold
The Martin compactification of a bounded Lipschitz domain is shown to be for a large class of uniformly elliptic second order partial differential operators on .Let be an open Riemannian manifold and let be open relatively compact, connected, with Lipschitz boundary. Then is the Martin compactification of associated with the restriction to of the Laplace-Beltrami operator on . Consequently an open Riemannian manifold has at most one compactification which is a compact Riemannian...
On the Poisson integral for Lipschitz and -domains
Opérateurs dissipatifs et codissipatifs invariants par translations sur les groupes localement compacts