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On a theorem of M. Itô

Gunnar Forst (1978)

Annales de l'institut Fourier

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.

H. Hueber (1979)

Journal für die reine und angewandte Mathematik

On Brownian and Poissonian Convolution Semigroups on the Infinite Dimensional Torus

C. Berg (1976)

Inventiones mathematicae

On exit laws for semigroups in weak duality

Imed Bachar (2001)

Commentationes Mathematicae Universitatis Carolinae

Let $ℙ : = {(P_{t})}_{t > 0}$ be a measurable semigroup and $m$ a $σ$ -finite positive measure on a Lusin space $X$ . An $m$ -exit law for $ℙ$ is a family ${(f_{t})}_{t > 0}$ of nonnegative measurable functions on $X$ which are finite $m$ -a.e. and satisfy for each $s, t > 0$ $P_{s} ...$

On the analytic structure of harmonic groups.

Jürgen Bliedtner (1969)

Manuscripta mathematica

On the Existence of a Green Function for Harmonie Spaces.

Klaus Janssen (1974)

Mathematische Annalen

On the Existence of Sub-Markovian Resolvents.

J.C. Taylor (1972)

Inventiones mathematicae

On the identity of Keldych solutions

Wolfhard Hansen (1985)

Czechoslovak Mathematical Journal

On the integral representation of finely superharmonic functions

Abderrahim Aslimani, Imad El Ghazi, Mohamed El Kadiri (2019)

Commentationes Mathematicae Universitatis Carolinae

In the present paper we study the integral representation of nonnegative finely superharmonic functions in a fine domain subset $U$ of a Brelot $𝒫$ -harmonic space $Ω$ with countable base of open subsets and satisfying the axiom $D$ . When $Ω$ satisfies the hypothesis of uniqueness, we define the Martin boundary of $U$ and the Martin kernel $K$ and we obtain the integral representation of invariant functions by using the kernel $K$ . As an application of the integral representation we extend to the cone $𝒮 (𝒰)$ of nonnegative...

On the Martin compactification of a bounded Lipschitz domain in a riemannian manifold

John C. Taylor (1978)

Annales de l'institut Fourier

The Martin compactification of a bounded Lipschitz domain $D \subset R^{n}$ is shown to be $\overline{D}$ for a large class of uniformly elliptic second order partial differential operators on $D$ .Let $X$ be an open Riemannian manifold and let $M \subset X$ be open relatively compact, connected, with Lipschitz boundary. Then $\overline{M}$ is the Martin compactification of $M$ associated with the restriction to $M$ of the Laplace-Beltrami operator on $X$ . Consequently an open Riemannian manifold $X$ has at most one compactification which is a compact Riemannian...

On the Poisson integral for Lipschitz and $C^{1}$ -domains

Björn Dahlbert (1979)

Studia Mathematica

Opérateurs dissipatifs et codissipatifs invariants par translations sur les groupes localement compacts

Francis Hirsch (1971/1972)

Séminaire Brelot-Choquet-Deny. Théorie du potentiel

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