Laplace transforms of vector-valued functions with growth \(\omega\) and semigroups of operators (Q1601809)
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scientific article; zbMATH DE number 1761133
| Language | Label | Description | Also known as |
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| English | Laplace transforms of vector-valued functions with growth \(\omega\) and semigroups of operators |
scientific article; zbMATH DE number 1761133 |
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Laplace transforms of vector-valued functions with growth \(\omega\) and semigroups of operators (English)
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27 June 2002
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The Hille-Yosida type theorem for strongly continuous semigroups is established by using Laplace-Stieltjes transforms of Banach-space-valued functions. It includes applications of these results to characterize generators of strongly continuous semigroups of finite exponential type growth, which complete already known cases of exponential and polynomial growth.
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Laplace-Stieltjes transform
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Hille-Yosida type theorem
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strongly continuous semigroup
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