Abstract:
Conditions of continuity of harmonic functions for a spatially homogeneous standard Markov process on a locally compact Abelian group are investigated.
Citation:
A. D. Bendikov, “On harmonic functions for some class of diffusion processes on a group”, Teor. Veroyatnost. i Primenen., 20:4 (1975), 773–784; Theory Probab. Appl., 20:4 (1976), 759–769
\Bibitem{Ben75}
\by A.~D.~Bendikov
\paper On harmonic functions for some class of diffusion processes on a~group
\jour Teor. Veroyatnost. i Primenen.
\yr 1975
\vol 20
\issue 4
\pages 773--784
\mathnet{http://mi.mathnet.ru/tvp3358}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=397891}
\zmath{https://zbmath.org/?q=an:0365.60065}
\transl
\jour Theory Probab. Appl.
\yr 1976
\vol 20
\issue 4
\pages 759--769
\crossref{https://doi.org/10.1137/1120083}
Linking options:
https://www.mathnet.ru/eng/tvp3358
https://www.mathnet.ru/eng/tvp/v20/i4/p773
This publication is cited in the following 4 articles:
Potential Theory on Infinite-Dimensional Abelian Groups, 1995, 175
A. D. Bendikov, Classical and Modern Potential Theory and Applications, 1994, 57
A. D. Bendikov, “Markov processes and partial differential equations on a group: the space-homogeneous case”, Russian Math. Surveys, 42:5 (1987), 49–94
A. D. Bendikov, “Harmonic structures generated by a Wiener heat process on a group”, Russian Math. Surveys, 34:1 (1979), 217–218