A Wiener Process with Reflection and Harmonic Functions with Finite Energy Integral
1989; Society for Industrial and Applied Mathematics; Volume: 33; Issue: 3 Linguagem: Inglês
10.1137/1133081
ISSN1095-7219
AutoresAlexander Bendikov, И. В. Павлов,
Tópico(s)Quantum Mechanics and Applications
ResumoPrevious article Next article A Wiener Process with Reflection and Harmonic Functions with Finite Energy IntegralA. D. Bendikov and I. V. PavlovA. D. Bendikov and I. V. Pavlovhttps://doi.org/10.1137/1133081PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Masatoshi Fukushima, Dirichlet forms and Markov processes, North-Holland Mathematical Library, Vol. 23, North-Holland Publishing Co., Amsterdam, 1980x+196, Elsevier 81f:60105 0422.31007 Google Scholar[2] A. D. Bendikov and , I. V. Pavlov, G. N. Kinkladze, A Wiener process with reflection and harmonic functions with a finite energy integral, 20th School-Colloquium on Probability Theory and Mathematical Statistics, Summary of Reports, Metsniereba, Tbilisi, 1986, (In Russian.) Google Scholar[3] A. D. Bendikov, Harmonic structures generated by a Wiener heat process on a group, Russian Math. Surveys, 34 (1979), 217–218 0452.60014 CrossrefGoogle Scholar[4] Sigeru Mizohata, The theory of partial differential equations, Cambridge University Press, New York, 1973xii+490 58:29033 0263.35001 Google Scholar[5] Christian Berg and , Gunnar Forst, Potential theory on locally compact abelian groups, Springer-Verlag, New York, 1975vii+197 58:1204 0308.31001 CrossrefGoogle Scholar[6] N. S. Landkov, Foundations of modern potential theory, Springer-Verlag, New York, 1972x+424, Heidelberg, Berlin 50:2520 CrossrefGoogle Scholar[7] A. D. Bendikov and , I. V. Pavlov, G. M. Maniya, , N. L. Lazrieva and , T. L. Shervashidze, Weyl's lemma for a Wiener process on a torus and characterization of the Poisson integralRandom analysis and asymptotic problems of probability theory and mathematical statistics (Bakuriani, 1983), “Metsniereba”, Tbilisi, 1984, 91–92, (In Russian.) 793 390 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Volume 33, Issue 3| 1989Theory of Probability & Its Applications History Submitted:14 May 1986Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1133081Article page range:pp. 547-550ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics
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