Distribution semigroups on
M. Mijatović, S. Pilipović (2003)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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M. Mijatović, S. Pilipović (2003)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Lemle, Ludovic Dan (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
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Marko Kostić (2008)
Studia Mathematica
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A class of C-distribution semigroups unifying the class of (quasi-) distribution semigroups of Wang and Kunstmann (when C = I) is introduced. Relations between C-distribution semigroups and integrated C-semigroups are given. Dense C-distribution semigroups as well as weak solutions of the corresponding Cauchy problems are also considered.
C. Batty (1994)
Banach Center Publications
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Kostić, M. (2003)
Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
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Mijatović, M., Pilipović, S. (2001)
Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
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Jia-An Yan (1988)
Séminaire de probabilités de Strasbourg
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Marko Kostić (2010)
Publications de l'Institut Mathématique
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M. Kostić (2010)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Megan, Mihail, Pogan, Alin (2002)
Novi Sad Journal of Mathematics
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Popović, Žarko, Bogdanović, Stojan, Ćirić, Miroslav (2004)
Novi Sad Journal of Mathematics
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Elisabetta M. Mangino, Alfredo Peris (2011)
Studia Mathematica
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We study frequent hypercyclicity in the context of strongly continuous semigroups of operators. More precisely, we give a criterion (sufficient condition) for a semigroup to be frequently hypercyclic, whose formulation depends on the Pettis integral. This criterion can be verified in certain cases in terms of the infinitesimal generator of the semigroup. Applications are given for semigroups generated by Ornstein-Uhlenbeck operators, and especially for translation semigroups on weighted...
Peer Christian Kunstmann, Modrag Mijatović, Stevan Pilipović (2008)
Studia Mathematica
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We introduce various classes of distribution semigroups distinguished by their behavior at the origin. We relate them to quasi-distribution semigroups and integrated semigroups. A class of such semigroups, called strong distribution semigroups, is characterized through the value at the origin in the sense of Łojasiewicz. It contains smooth distribution semigroups as a subclass. Moreover, the analysis of the behavior at the origin involves intrinsic structural results for semigroups....