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Sur la fonction de Green pour un domaine fin

Bent Fuglede — 1975

Annales de l'institut Fourier

Dans le cadre axiomatique de M. Brelot et R.-M. Hervé (cas A 2 y compris l’axiome de domination) on montre que, pour tout domaine U par rapport à la topologie fine et pour tout point y U , la fonction (“fine ”) de Green pour U à pôle y est caractérisée (à un facteur constant près) comme un potentiel fin > 0 relatif à U qui est finement harmonique dans U { y } .

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