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Displaying similar documents to “Convex analysis for sets of local martingales measures”

Integral representation for a class of multiply superharmonic functions

Kohur Gowrisankaran (1973)

Annales de l'institut Fourier

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Let Ω 1 , ... , Ω n be harmonic spaces of Brelot with countable base of completely determining domains. The elements of a subcone C of the cone of positive n -superharmonic functions in Ω 1 × ... × Ω n is shown to have an integral representation with the aid of Radon measures on the extreme elements belonging to a compact base of C . The extreme elements are shown to be the product of extreme superharmonic functions on the component spaces and the measure representing each element is shown to be unique. Necessary...