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On the absolute continuity of smooth measures. (English. Ukrainian original) Zbl 0861.60006

Theory Probab. Math. Stat. 49, 159-163 (1994); translation from Teor. Jmovirn. Mat. Stat. 49, 225-230 (1993).
Summary: Some problems on the absolute continuity of smooth measures on an infinite-dimensional Banach manifold are studied and certain applications of the results to linear spaces are discussed. The paper is based on the works of Yu. L. Daletskij and the author [Akad. Nauk Ukr. SSR, Inst. Mat., Preprint 53 (1987) and Funct. Anal. Appl. 22, No. 2, 149-150 (1988), translation from Funkts. Anal. Prilozh. 22, No. 2, 77-78 (1988; Zbl 0693.58035)].

MSC:

60B05 Probability measures on topological spaces
46G12 Measures and integration on abstract linear spaces

Citations:

Zbl 0693.58035
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