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Russian Mathematical Surveys, 1990, Volume 45, Issue 3, Pages 1–104
DOI: https://doi.org/10.1070/RM1990v045n03ABEH002364
(Mi rm4736)
 

This article is cited in 45 scientific papers (total in 46 papers)

Analytic properties of infinite-dimensional distributions

V. I. Bogachev, O. G. Smolyanov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Received: 26.07.1989
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: English
Original paper language: Russian
Citation: V. I. Bogachev, O. G. Smolyanov, “Analytic properties of infinite-dimensional distributions”, Russian Math. Surveys, 45:3 (1990), 1–104
Citation in format AMSBIB
\Bibitem{BogSmo90}
\by V.~I.~Bogachev, O.~G.~Smolyanov
\paper Analytic properties of infinite-dimensional distributions
\jour Russian Math. Surveys
\yr 1990
\vol 45
\issue 3
\pages 1--104
\mathnet{http://mi.mathnet.ru/eng/rm4736}
\crossref{https://doi.org/10.1070/RM1990v045n03ABEH002364}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1071934}
\zmath{https://zbmath.org/?q=an:0708.60049}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990EZ60500001}
Linking options:
  • https://www.mathnet.ru/eng/rm4736
  • https://doi.org/10.1070/RM1990v045n03ABEH002364
  • https://www.mathnet.ru/eng/rm/v45/i3/p3
  • This publication is cited in the following 46 articles:
    1. V. I. Bogachev, “Sobolev and Besov Classes on Infinite-Dimensional Spaces”, Proc. Steklov Inst. Math., 323 (2023), 59–80  mathnet  crossref  crossref  mathscinet
    2. V. I. Bogachev, “Pointwise Conditions for Membership of Functions in Weighted Sobolev Classes”, Funct. Anal. Appl., 56:2 (2022), 86–100  mathnet  crossref  crossref
    3. V. I. Bogachev, E. D. Kosov, S. N. Popova, “On distributions of homogeneous and convex functions in Gaussian random variables”, Izv. Math., 85:5 (2021), 852–882  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    4. P. A. Borodin, I. A. Ibragimov, B. S. Kashin, V. V. Kozlov, A. V. Kolesnikov, S. V. Konyagin, E. D. Kosov, O. G. Smolyanov, N. A. Tolmachev, D. V. Treshchev, A. V. Shaposhnikov, S. V. Shaposhnikov, A. N. Shiryaev, A. A. Shkalikov, “Vladimir Igorevich Bogachev (on his 60th birthday)”, Russian Math. Surveys, 76:6 (2021), 1149–1157  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    5. Bogachev I V., “On Skorokhod Differentiable Measures”, Ukr. Math. J., 72:9 (2021), 1335–1357  crossref  isi
    6. V. I. Bogachev, E. D. Kosov, S. N. Popova, “Densities of distributions of homogeneous functions of Gaussian random vectors”, Dokl. Math., 102:3 (2020), 460–463  mathnet  crossref  crossref  zmath  elib
    7. V. I. Bogachev, “On Skorokhod differentiable measures”, Ukr. Mat. Zhurn., 72:9 (2020), 1159  crossref
    8. Bogachev V. Smolyanov O., “Topological Vector Spaces and Their Applications”, Topological Vector Spaces and Their Applications, Springer Monographs in Mathematics, Springer, 2017, 1–456  crossref  isi
    9. V. I. Bogachev, “Distributions of polynomials on multidimensional and infinite-dimensional spaces with measures”, Russian Math. Surveys, 71:4 (2016), 703–749  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    10. Kozlov V.V., Smolyanov O.G., “Invariant and Quasi-Invariant Measures on Infinite-Dimensional Spaces”, 92, no. 3, 2015, 743–746  crossref  isi
    11. V. I. Bogachev, I. I. Malofeev, “On the distributions of smooth functions on infinite-dimensional spaces with measures”, Dokl. Math, 89:1 (2014), 5  crossref
    12. Aida Sh., Sasaki K., “Wong-Zakai Approximation of Solutions to Reflecting Stochastic Differential Equations on Domains in Euclidean Spaces”, Stoch. Process. Their Appl., 123:10 (2013), 3800–3827  crossref  isi
    13. V. I. Bogachev, B. Goldys, “Second derivatives of convex functions in the sense of A. D. Aleksandrov on infinite-dimensional spaces with measure”, Math. Notes, 79:4 (2006), 454–467  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    14. ABDELHADI ES-SARHIR, “SOBOLEV REGULARITY OF INVARIANT MEASURES FOR GENERALIZED ORNSTEIN–UHLENBECK OPERATORS”, Infin. Dimens. Anal. Quantum. Probab. Relat. Top, 09:04 (2006), 595  crossref
    15. STEFANO BONACCORSI, MARCO FUHRMAN, “INTEGRATION BY PARTS AND SMOOTHNESS OF THE LAW FOR A CLASS OF STOCHASTIC EVOLUTION EQUATIONS”, Infin. Dimens. Anal. Quantum. Probab. Relat. Top, 07:01 (2004), 89  crossref
    16. S. V. Lyudkovskii, “Quasi-invariant and pseudo-differentiable measures with values in non-Archimedean fields on a non-Archimedean Banach space”, J. Math. Sci., 128:6 (2005), 3428–3460  mathnet  crossref  mathscinet  zmath  elib  elib
    17. A. Yu. Khrennikov, H. Petersson, “A Paley–Wiener theorem for generalized entire functions on infinite-dimensional spaces”, Izv. Math., 65:2 (2001), 403–424  mathnet  crossref  crossref  mathscinet  zmath  elib
    18. Marco Fuhrman, “Logarithmic derivatives of invariant measure for stochastic differential equations in hilbert spaces”, Stochastics and Stochastic Reports, 71:3-4 (2001), 269  crossref
    19. Hongwei Long, “Necessary and sufficient conditions for the symmetrizability of dierential operators over innite dimensional state spaces”, form, 12:2 (2000), 167  crossref  mathscinet  zmath  isi
    20. Marco Fuhrman, “Regularity properties of transition probabilities in infinite dimensions”, Stochastics and Stochastic Reports, 69:1-2 (2000), 77  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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