Article
Ufa Mathematical Journal
Volume 3, Number 2, pp. 56-78
Integrals of of exponential Radon measures
Merzlyakov S. G.
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In this paper we study properties of sets of convergence of integrals of exponential functions in the finite-dimensional Euclidean space. These sets, in particular, the set of absolute convergence of exponential series. It is shown that these sets are always convex. We introduce a special class of convex sets in terms of the class for open and relatively closed convex sets, a complete description of sets of convergence. The necessary and sufficient conditions under which any set of convergence of open and, separately, is unlimited.