Notes on analytic convoluted C-semigroups
Author(s) -
Marko Kostić
Publication year - 2010
Publication title -
publications de l institut mathematique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim1002067k
Subject(s) - bounded function , class (philosophy) , mathematics , analytic function , pure mathematics , operator (biology) , cover (algebra) , special classes of semigroups , semigroup , state (computer science) , discrete mathematics , algebra over a field , mathematical analysis , computer science , algorithm , artificial intelligence , mechanical engineering , biochemistry , chemistry , repressor , transcription factor , engineering , gene
We establish some new structural properties of exponentially bounded, analytic convoluted C-semigroups and state a version of Kato’s analyticity criterion for such a class of operator semigroups. Our characterizations completely cover the case of analytic fractionally integrated C-semigroups.
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