Post-Widder Inversion for Laplace Transforms of Hyperfunctions

Peer Christian Kunstmann ()
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Peer Christian Kunstmann: Universität Karlsruhe, Institut für Analysis

A chapter in Functional Analysis and Evolution Equations, 2007, pp 423-431 from Springer

Abstract: Abstract We prove a Post-Widder inversion formula for the Laplace transform of hyperfunctions with compact support in [0,∞). We observe that any hyperfunction with support in [0,∞) has Laplace transforms which are analytic on the right half-plane ℂ+, and we extend the Post-Widder inversion formula to suitably bounded representatives of arbitrary hyperfunctions with support in [0,∞).

Keywords: Laplace transform; hyperfunctions; Post-Widder inversion (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7643-7794-6_27

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DOI: 10.1007/978-3-7643-7794-6_27

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