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Hilbertian support of probability measures on locally convex spaces and their applications. (English) Zbl 0469.46032

##### MSC:
 46G12 Measures and integration on abstract linear spaces 28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) 46A13 Spaces defined by inductive or projective limits (LB, LF, etc.) 46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) 46A04 Locally convex Fréchet spaces and (DF)-spaces 46A19 Other “topological” linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than $$\mathbb{R}$$, etc.)
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