\Bibitem{Kir94}
\by A.~I.~Kirillov
\paper Infinite-dimensional analysis and quantum theory as semimartingale calculus
\jour Russian Math. Surveys
\yr 1994
\vol 49
\issue 3
\pages 43--95
\mathnet{http://mi.mathnet.ru/eng/rm1197}
\crossref{https://doi.org/10.1070/RM1994v049n03ABEH002257}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1289387}
\zmath{https://zbmath.org/?q=an:0925.60047}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994RuMaS..49...43K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QX25500002}
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https://doi.org/10.1070/RM1994v049n03ABEH002257
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This publication is cited in the following 15 articles:
Massimiliano Gubinelli, Encyclopedia of Mathematical Physics, 2025, 648
J. Montaldi, O. G. Smolyanov, “Feynman path integrals and Lebesgue–Feynman measures”, Dokl. Math., 96:1 (2017), 368
L. C. Garsía-Naranjo, J. Montaldi, O. G. Smolyanov, “Transformations of Feynman path integrals and generalized densities of Feynman pseudomeasures”, Dokl. Math., 93:3 (2016), 282
J. Gough, T. S. Ratiu, O. G. Smolyanov, “Quantum anomalies and logarithmic derivatives of feynman pseudomeasures”, Dokl. Math., 92:3 (2015), 764
Bogachev V.I., Kirillov A.I., Shaposhnikov S.V., “Invariant Measures of Diffusions with Gradient Drifts”, Doklady Mathematics, 82:2 (2010), 790–793
V. I. Bogachev, N. V. Krylov, M. Röckner, “Elliptic and parabolic equations for measures”, Russian Math. Surveys, 64:6 (2009), 973–1078
Aigner E., “Differentiability of Loeb measures”, Strength of Nonstandard Analysis, 2007, 238–249
Hongwei Long, “Necessary and sufficient conditions for the symmetrizability of dierential operators over innite dimensional state spaces”, form, 12:2 (2000), 167
A. I. Kirillov, V. Yu. Mamakin, “Stochastic model of phase transition and metastability”, Theoret. and Math. Phys., 123:1 (2000), 494–503
von Weizsaecker, H, “Connections between smooth measures and their logarithmic gradients and derivatives”, Doklady Akademii Nauk, 369:2 (1999), 158
Smolyanov, OG, “Smooth probability measures and associated differential operators”, Infinite Dimensional Analysis Quantum Probability and Related Topics, 2:1 (1999), 51
Vladimir Bogachev, Michael Röckner, “Elliptic equations for infinite dimensional probability distributions and Lyapunov functions”, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 329:8 (1999), 705
A. I. Kirillov, “Generalized differentiable product measures”, Math. Notes, 63:1 (1998), 33–49
H. von Weizsäcker, O. G. Smolyanov, “Formulae with logarithmic derivatives of measures related to the quantization of infinite-dimensional Hamiltonian systems”, Russian Math. Surveys, 51:2 (1996), 357–358
A. I. Kirillov, “Sine-Gordon type field in spacetime of arbitrary dimension. II: Stochastic quantization”, Theoret. and Math. Phys., 105:2 (1995), 1329–1345
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