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A Note on holomorphic functions and the fourier-laplace transform
Lunds universitet.
Kyoto University.ORCID iD: 0000-0002-0905-6188
2017 (English)In: Mathematica Scandinavica, Vol. 120, no 2, p. 225-248Article in journal (Refereed) Published
Abstract [en]

We revisit the classical problem of when a given function, which is analytic in the upper half plane C+, can be written as the Fourier transform of a function or distribution with support on a half axis (-infinity, b], b is an element of R. We derive slight improvements of the classical Paley-Wiener-Schwartz Theorem, as well as softer conditions for verifying membership in classical function spaces such as H-P (C+).

Place, publisher, year, edition, pages
2017. Vol. 120, no 2, p. 225-248
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Mathematics
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URN: urn:nbn:se:hb:diva-25210DOI: 10.7146/math.scand.a-25612ISI: 000405257100005Scopus ID: 2-s2.0-85019667644OAI: oai:DiVA.org:hb-25210DiVA, id: diva2:1540607
Available from: 2021-03-29 Created: 2021-03-29 Last updated: 2021-03-29Bibliographically approved

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Wittsten, Jens

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