Global convoluted semigroups |
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| Authors: | M Kosti? S Pilipovi? |
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| Institution: | 1. University of Novi Sad, Faculty of Technical Sciences, Trg Dositeja Obradovi?a 6, 21125 Novi Sad, SerbiaPhone: +381642189398, Fax: +381216350458;2. University of Novi Sad, Department of Mathematics and Informatics, Trg Dositeja Obradovi?a 4, 21000 Novi Sad, Serbia |
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| Abstract: | Global exponentially bounded convoluted semigroups in Banach spaces are systematically treated with the help of Laplace transform. A perturbation theorem in this context is proved and some characterizations of the introduced class of analytic convoluted semigroups are obtained. Illustrative examples of generators of convoluted semigroups, including differential operators, are presented. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Convoluted semigroups analytic convoluted semigroups Laplace transforms |
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