EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 84(98), pp. 73–95 (2008)

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Marko Kostic

Faculty of Technical Sciences, University of Novi Sad, Serbia

Abstract: We introduce and systematically analyze the class of convoluted $C$-groups unifying the well known classes of fractionally integrated groups and $C$-regularized groups. We relate convoluted $C$-groups to analytic convoluted $C$-semigroups and present illustrative examples of differential operators which generate exponentially bounded convoluted groups.

Classification (MSC2000): 47D06; 47D09, 47D60, 47D62, 47D99

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Electronic fulltext finalized on: 9 Dec 2008. This page was last modified: 12 Dec 2008.

© 2008 Mathematical Institute of the Serbian Academy of Science and Arts
© 2008 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition