Tony L. Perkins

activity

20102014

most citedThe Dirichlet Problem for Harmonic Functions on Compact Sets

3 citations · 5 across the 5 of their papers we have counts for

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Showing 2010Show all

3 papers · 1 filter

math.FA2010

Non-compact versions of Edwards' Theorem

Nihat G. Gogus, Tony L. Perkins, Evgeny A. Poletsky

Edwards' Theorem establishes duality between a convex cone in the space of continuous functions on a compact space and the set of representing or Jensen measures for this cone. In…

math.CA2010

Green functions, the fine topology and restoring coverings

Tony L. Perkins

There are several equivalent ways to define continuous harmonic functions $H (K)$ on a compact set $K$ in $R^{n}$ . One may let $H (K)$ be the unform closures of all functions i…

math.CA2010★ 3 cited

The Dirichlet Problem for Harmonic Functions on Compact Sets

Tony Perkins

For any compact set $K \subset R^{n}$ we develop the theory of Jensen measures and subharmonic peak points, which form the set $O_{K}$ , to study the Dirichlet problem…