Differentiability of a convex semigroup on IRm.
G. Rodé (1983)
Semigroup forum
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G. Rodé (1983)
Semigroup forum
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D. Monk, F. Sioson (1966)
Fundamenta Mathematicae
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Mihail Megan, Alin Pogan (2000)
Annales mathématiques Blaise Pascal
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Nenthein, S., Kemprasit, Y. (2006)
International Journal of Mathematics and Mathematical Sciences
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Milorad Mijatović, Stevan Pilipović (1997)
Matematički Vesnik
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M. Satyanarayana, T. O'Brien, M. Rajagopalari (1986)
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Jin Bai Kim (1969)
Czechoslovak Mathematical Journal
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Enrico Priola (1999)
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We study a new class of Markov type semigroups (not strongly continuous in general) in the space of all real, uniformly continuous and bounded functions on a separable metric space E. Our results allow us to characterize the generators of Markov transition semigroups in infinite dimensions such as the heat and the Ornstein-Uhlenbeck semigroups.