Notes on analytic convoluted C-semigroups
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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.
Integrated semigroups, subgenerator, One-parameter semigroups and linear evolution equations, Kato's analyticity criterion, Operator sine and cosine functions and higher-order Cauchy problems, analytic fractionally integrated \(C\)-semigroup, \(C\)-semigroups, regularized semigroups
Integrated semigroups, subgenerator, One-parameter semigroups and linear evolution equations, Kato's analyticity criterion, Operator sine and cosine functions and higher-order Cauchy problems, analytic fractionally integrated \(C\)-semigroup, \(C\)-semigroups, regularized semigroups
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