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Borel decomposability semigroups of probability measures
Productdecomposability of probability measures
4 other sections not shown
a_,a+ a-compact Abelian metrizable group algebraic analysis analytic functions assume Borel subgroup Borel transform bounded Cauchy compact complex computation condition consider constant continuous convergence radius convex functions Coo(M coordinates Corollary definition denote differential equations DISSERTATIONES MATHEMATICAE elliptic exists finite follows formula Frechet Fueter Gaussian measure Hence holomorphic Hurwitz pairs hyperfunctions implies infimal convolution integral invariant isomorphism Laplace distributions Lemma Let F Let G Lichnerowicz Lipschitz continuous locally convex space lower semicontinuous Math Mellin transform metric g metrizable space Moreover Mq(G neighbourhood nonempty normed vector space numbers obtain operator polyhomogeneous probability measures product-atomic product-atomless product-decomposability proof of Theorem proper common subdomain properties Proposition prove quaternionic real-valued Remark respectively resurgent functions Riemannian manifold satisfying scalar Section semigroup sequence smooth map solutions strong regularity interval subset subspace Suppose symmetric tensor Theorem theory topology uniformly variables zero