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VOL. 44 | 2006 Integral representation for space-time excessive functions
Klaus Janssen

Editor(s) Hiroaki Aikawa, Takashi Kumagai, Yoshihiro Mizuta, Noriaki Suzuki

## Abstract

We study space-time excessive functions with respect to a basic submarkovian semigroup $\mathbb{P}$. It is shown that under some regularity assumptions many space-time excessive functions on a half-space have a Choquet-type integral represention by suitably choosen densities of the adjoint semigroup $\mathbb{P}^*$. If $\mathbb{P}$ is a convolution semigroup which is absolutely continuous with respect to the Haar measure, then all space-time excessive functions admit such an integral representation.

## Information

Published: 1 January 2006
First available in Project Euclid: 16 December 2018

zbMATH: 1121.31007
MathSciNet: MR2277831

Digital Object Identifier: 10.2969/aspm/04410167