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Sur la décomposition de Riesz et la représentation intégrale des fonctions finement surharmoniques

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Abstract

We define a natural topology on the cone \({\mathcal{S}}\left( U \right)\) of non-negative finely superharmonic functions on a fine domain of R n which permits us to get the integral representation, we represent the invariant functions and apply this result to some questions of classical Potential theory.

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Authors
  1. Mohamed El Kadiri
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El Kadiri, M. Sur la décomposition de Riesz et la représentation intégrale des fonctions finement surharmoniques. Positivity 4, 105–114 (2000). https://doi.org/10.1023/A:1009869923566

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  • DOI: https://doi.org/10.1023/A:1009869923566

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