Initial limits of temperatures on arbitrary open sets.
Let be harmonic spaces of Brelot with countable base of completely determining domains. The elements of a subcone of the cone of positive -superharmonic functions in is shown to have an integral representation with the aid of Radon measures on the extreme elements belonging to a compact base of . 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 and sufficient...