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Mathematics of the USSR-Sbornik, 1986, Volume 55, Issue 2, Pages 335–349
DOI: https://doi.org/10.1070/SM1986v055n02ABEH003008
(Mi sm2000)
 

This article is cited in 18 scientific papers (total in 19 papers)

Some results on differentiable measures

V. I. Bogachev
References:
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
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1985, Volume 127(169), Number 3(7), Pages 336–351
Bibliographic databases:
UDC: 517.98
MSC: Primary 28A15, 28C15, 46G12; Secondary 28C20, 46A05, 46G10, 60B11, 60E07
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
\Bibitem{Bog85}
\by V.~I.~Bogachev
\paper Some results on differentiable measures
\jour Mat. Sb. (N.S.)
\yr 1985
\vol 127(169)
\issue 3(7)
\pages 336--351
\mathnet{http://mi.mathnet.ru/sm2000}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=798381}
\zmath{https://zbmath.org/?q=an:0597.46043}
\transl
\jour Math. USSR-Sb.
\yr 1986
\vol 55
\issue 2
\pages 335--349
\crossref{https://doi.org/10.1070/SM1986v055n02ABEH003008}
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  • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:606
    Russian version PDF:200
    English version PDF:19
    References:68
     
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