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 Uspekhi Mat. Nauk, 1966, Volume 21, Issue 6(132), Pages 83–152 (Mi umn5940)

On the densities of probability measures in function spaces

I. I. Gikhman, A. V. Skorokhod

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English version:
Russian Mathematical Surveys, 1966, 21:6, 83–156

Bibliographic databases:

UDC: 519.2+517.5
MSC: 60B05, 60G05, 28C20, 46E30

Citation: I. I. Gikhman, A. V. Skorokhod, “On the densities of probability measures in function spaces”, Uspekhi Mat. Nauk, 21:6(132) (1966), 83–152; Russian Math. Surveys, 21:6 (1966), 83–156

Citation in format AMSBIB
\Bibitem{GikSko66} \by I.~I.~Gikhman, A.~V.~Skorokhod \paper On the densities of probability measures in function spaces \jour Uspekhi Mat. Nauk \yr 1966 \vol 21 \issue 6(132) \pages 83--152 \mathnet{http://mi.mathnet.ru/umn5940} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=203761} \zmath{https://zbmath.org/?q=an:0203.17101} \transl \jour Russian Math. Surveys \yr 1966 \vol 21 \issue 6 \pages 83--156 \crossref{https://doi.org/10.1070/RM1966v021n06ABEH001197} 

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. J Kuelbs, “Gaussian measures on a Banach space”, Journal of Functional Analysis, 5:3 (1970), 354
2. A. S. Holevo, “Quasi-free states on the $C^*$ algebra of CCR”, Theoret. and Math. Phys., 6:1 (1971), 1–12
3. Jacob Feldman, “Decomposable processes and continuous products of probability spaces”, Journal of Functional Analysis, 8:1 (1971), 1
4. David Shale, “Absolute continuity of Wiener processes”, Journal of Functional Analysis, 12:3 (1973), 321
5. Vera Darlene Briggs, “Densities for infinitely divisible random processes”, Journal of Multivariate Analysis, 5:2 (1975), 178
6. Patrick L. Brockett, “Admissible transformations of measures”, Semigroup Forum, 12:1 (1976), 21
7. V. V. Fedorchuk, “Fully closed mappings and the consistency of some theorems of general topology with the axioms of set theory”, Math. USSR-Sb., 28:1 (1976), 1–26
8. B. W. Stuck, “Distinguishing Stable Probability Measures Part II: Continuous Time”, Bell System Technical Journal, 55:8 (1976), 1183
9. Patrick L. Brockett, Howard G. Tucker, “A conditional dichotomy theorem for stochastic processes with independent increments”, Journal of Multivariate Analysis, 7:1 (1977), 13
10. V. S. Korolyuk, Yu. A. Mitropol'skii, A. V. Skorokhod, “Iosif Il'ich Gikhman (on his sixtieth birthday)”, Russian Math. Surveys, 33:5 (1978), 217–222
11. Yu. M. Kabanov, R. Sh. Liptser, A. N. Shiryaev, “Absolute continuity and singularity of locally absolutely continuous probability distributions. II”, Math. USSR-Sb., 36:1 (1980), 31–58
12. P.G. Buckholtz, J.M. Hartwick, K. Nanthi, M.T. Wasan, “Some results on first order stochastic models and estimation for diffusion approximation of the multitype galton–watson process”, Stochastic Analysis and Applications, 1:2 (1983), 163
13. Knut Kristian Aase, “Optimum portfolio diversification in a general continuous-time model”, Stochastic Processes and their Applications, 18:1 (1984), 81
14. V. I. Bogachev, O. G. Smolyanov, “Analytic properties of infinite-dimensional distributions”, Russian Math. Surveys, 45:3 (1990), 1–104
15. V. I. Bogachev, “Gaussian measures on linear spaces”, Journal of Mathematical Sciences (New York), 79:2 (1996), 933
16. A. Yu. Pilipenko, “Transformation of measures in infinite-dimensional spaces by the flow induced by a stochastic differential equation”, Sb. Math., 194:4 (2003), 551–573
17. Andrey Pilipenko, Vladislav Khomenko, “On a limit behavior of a random walk with modifications upon each visit to zero”, Theory Stoch. Process., 22(38):1 (2017), 71–80
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