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Global convoluted semigroups
Author(s) -
Kostić M.,
Pilipović S.
Publication year - 2007
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510574
Subject(s) - mathematics , laplace transform , bounded function , banach space , context (archaeology) , pure mathematics , class (philosophy) , perturbation (astronomy) , mathematical analysis , physics , quantum mechanics , computer science , paleontology , artificial intelligence , biology
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)