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This article is cited in 18 scientific papers (total in 19 papers)
Some results on differentiable measures
V. I. Bogachev
Abstract:
Connections are described between various differentiability properties of measures on locally convex spaces. In particular, it is proved that every analytic measure is quasi-invariant, and every quasi-invariant measure is absolutely continuous with respect to some analytic measure. It is proved that for stable measures continuity in some direction implies infinite differentiability, and even analyticity in this direction when $\alpha\geqslant1$. A solution is presented for a problem posed by Aronszajn (RZh.Mat., 1977, 5B557).
Bibliography: 16 titles.
Received: 19.05.1983 and 15.06.1984
Citation:
V. I. Bogachev, “Some results on differentiable measures”, Mat. Sb. (N.S.), 127(169):3(7) (1985), 336–351; Math. USSR-Sb., 55:2 (1986), 335–349
Linking options:
https://www.mathnet.ru/eng/sm2000https://doi.org/10.1070/SM1986v055n02ABEH003008 https://www.mathnet.ru/eng/sm/v169/i3/p336
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Abstract page: | 607 | Russian version PDF: | 201 | English version PDF: | 20 | References: | 69 |
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