Density of extremal measures in parabolic potential theory

Abstract

For caloric potential theory, it is shown that any convex combination of harmonic measures (for a given point) can be approximated by a sequence of harmonic measures of neighbourhoods of this point. The method of proofs makes it possible a generalization to practically arbitrary space-time structure and provides new results on representing measures for the cone of heat potentials.

Keywords

• Density
• extremal
• measures
• parabolic
• potential
• theory