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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 260, Pages 31–49 (Mi znsl1064)  

This article is cited in 3 scientific papers (total in 3 papers)

Smooth diffusion measures and their transformations

Ya. I. Belopol'skaya

St. Petersburg State University of Architecture and Civil Engineering
Full-text PDF (228 kB) Citations (3)
Abstract: We study absolutely continuous transformations of smooth diffusion measures and describe the generalized Darboux transformation. Besides we reveal the connections between some quasilinear classical equations like Burgers or Riccati equations and their generalizations with equations which govern logarithmic derivatives of smooth diffusion measures. The results derived here combined with the ground state representation could be applied to compute functional integrals.
Received: 20.09.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 109, Issue 6, Pages 2047–2060
DOI: https://doi.org/10.1023/A:1014564913268
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: Ya. I. Belopol'skaya, “Smooth diffusion measures and their transformations”, Probability and statistics. Part 3, Zap. Nauchn. Sem. POMI, 260, POMI, St. Petersburg, 1999, 31–49; J. Math. Sci. (New York), 109:6 (2002), 2047–2060
Citation in format AMSBIB
\Bibitem{Bel99}
\by Ya.~I.~Belopol'skaya
\paper Smooth diffusion measures and their transformations
\inbook Probability and statistics. Part~3
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 260
\pages 31--49
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1064}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1759153}
\zmath{https://zbmath.org/?q=an:0999.60074}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 109
\issue 6
\pages 2047--2060
\crossref{https://doi.org/10.1023/A:1014564913268}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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