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Representation of continuous functions as sums of Green functions

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Publication:4875569
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DOI10.1090/S0002-9939-96-03176-0zbMath0847.31002MaRDI QIDQ4875569

Stephen J. Gardiner

Publication date: 15 October 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

Green functionpositive continuous functionsnon-thinness condition


Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)


Related Items

Harmonicity of Gibbs measures



Cites Work

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  • Continuous functions and potential theory
  • Vanishing l1-sums of the Poisson kernel, and sums with positive coefficients
  • Bases for Positive Continuous Functions
  • Quasiadditivity of Riesz capacity.
  • Sets of Determination for Harmonic Functions
  • On minimal thinness, reduced functions and Green potentials
  • Sur l'approximation et la convergence dans la théorie des fonctions harmoniques ou holomorphes
  • Sur l'approximation des fonctions harmoniques
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