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Representation of
vector-valued functions by Laplace transforms
W. Ricker |
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Vol. 115 (1984), No. 2, 445–462
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Abstract |
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In this note various criteria are given which solve the following problem. Given a locally convex space X and an X-valued function on (0,∞), when does there exist an X-valued function on [0,∞), 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. |
Mathematical Subject Classification 2000
Primary: 46G10
Secondary: 44A10, 47D99
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Milestones
Received: 22 November 1982
Revised: 31 January 1984
Published: 1 December 1984
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Authors |
| W. Ricker | |
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