Inversion of the Laplace transform and generation of Abel summable semigroups

DOI10.1006/jfan.2001.3782zbMath1016.44001OpenAlexW2006887697MaRDI QIDQ5949991

Adam Bobrowski

Publication date: 20 November 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3782

zbMATH Keywords

Laplace-Stieltjes transformAbel summable semigroupsintegrated semigroupsPost-Widder inversion formula

Mathematics Subject Classification ID

Laplace transform (44A10) Integrated semigroups (47D62)

Related Items (1)

On an integral transform by R. S. Phillips

Cites Work

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• An inversion formula for Laplace transforms and semi-groups of linear operators
• On representations, inversions, and approximations of laplace transforms in banach spaces
• On the Yosida approximation and the Widder-Arendt representation theorem
• Around Widder's characterization of the Laplace transform of an element of $L^{∞}(ℝ^{+})$
• The Ranges of Certain Convolution Operators.
• Group Algebra Modules. I
• What is the Laplace Transform?

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