Global Approximation in Harmonic Spaces

DOI10.2307/2160863zbMath0809.31006OpenAlexW4254953064MaRDI QIDQ4311393

Myron Goldstein, Kohur Gowrisankaran, Stephen J. Gardiner

Publication date: 30 March 1995

Full work available at URL: https://doi.org/10.2307/2160863

zbMATH Keywords

harmonic functionsuperharmonic functionsBrelot harmonic spaceRunge pairMergelyan pair

Mathematics Subject Classification ID

Axiomatic potential theory (31D05) Approximation by other special function classes (41A30) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Related Items

Harmonic approximation on compact sets ⋮ Luzin-type harmonic approximation on subsets of non-compact Riemannian manifolds ⋮ On the existence of Evans potentials ⋮ Reduced functions and Jensen measures ⋮ Jensen measures in potential theory

Cites Work

• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• Lectures on potential theory. Notes by K. N. Gowrisankaran and M. K. Venkatesha Murthy
• Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel
• Harmonic and superharmonic functions on compact sets
• Simplicial cones in potential theory. II: Approximation theorems
• Superharmonic extension and harmonic approximation
• Approximation et caractère de quasi-analyticité dans la théorie axiomatique des fonctions harmoniques
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