On Functions that are Harmonic for a Certain Class of Diffusion Processes on a Group

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Previous article Next article On Functions that are Harmonic for a Certain Class of Diffusion Processes on a GroupA. D. BendikovA. D. Bendikovhttps://doi.org/10.1137/1120083PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] E. B. Dynkin, Markov processes. Vols. I, II, Translated with the authorization and assistance of the author by J. Fabius, V. Greenberg, A. Maitra, G. Majone. Die Grundlehren der Mathematischen Wi ssenschaften, Bände 121, Vol. 122, Academic Press Inc., Publishers, New York, 1965Vol. I: xii+365 pp.; Vol. II: viii+274 MR0193671 0132.37901 CrossrefGoogle Scholar[2] R. M. Blumenthal and , R. K. Getoor, Markov processes and potential theory, Pure and Applied Mathematics, Vol. 29, Academic Press, New York, 1968x+313, London MR0264757 0169.49204 Google Scholar[3] I. I. Gikhman and , A. V. Skorpkhod, The Theory of Stochastic Processes, Vol. I, Springer, New York, 1974 0348.60042 CrossrefGoogle Scholar[4] Paul-André Meyer, Probabilités et potentiel, Publications de l'Institut de Mathématique de l'Université de Strasbourg, No. XIV. Actualités Scientifiques et Industrielles, No. 1318, Hermann, Paris, 1966, 320– MR0205287 0138.10402 Google Scholar[5] Sidney C. Port and , Charles J. Stone, Infinitely divisible processes and their potential theory, Ann. Inst. Fourier (Grenoble), 21 (1971), 157–275; ibid. 21 (1971), no. 4, 179–265 MR0346919 0195.47601 Google Scholar[6] M. Brelot, Axiomatique des fonctions harmoniques, Les Presses de l'Université de Montréal, Montréal, 1966 0148.10401 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On the Problem of Hypoellipticity on the Infinite Dimensional Torus Cross Ref Bibliography Cross Ref Volume 20, Issue 4| 1976Theory of Probability & Its Applications History Submitted:16 May 1974Published online:17 July 2006 InformationCopyright © 1976 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1120083Article page range:pp. 759-769ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics