Representation of vector-valued functions by Laplace transforms (Q1079783)
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scientific article; zbMATH DE number 3964723
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representation of vector-valued functions by Laplace transforms |
scientific article; zbMATH DE number 3964723 |
Statements
Representation of vector-valued functions by Laplace transforms (English)
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1984
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Various criteria are given which solve the following problem. Given a locally convex space X and an X-valued function on (0,\(\infty)\), when does there exist an X-valued function on [0,\(\infty)\), usually required to have certain specific properties such as continuity, integrability, etc., whose Laplace transform is the given function ? Some of these criteria are new even in Banach spaces.
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representation of vector-valued functions by Laplace transforms
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Post- Widder inversion formula
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semigroup
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