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A Note on holomorphic functions and the fourier-laplace transform

Carlsson, Marcus LU and Wittsten, Jens LU (2017) In Mathematica Scandinavica 120(2). p.225-248
Abstract

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 (-∞, b], b∈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 Hp(ℂ+).

Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Mathematica Scandinavica
volume
120
issue
2
pages
24 pages
publisher
Matematisk Institut
external identifiers
  • wos:000405257100005
  • scopus:85019667644
ISSN
0025-5521
DOI
10.7146/math.scand.a-25612
language
English
LU publication?
yes
id
e8f50513-5f60-4155-81df-1c8f304a3630
date added to LUP
2017-06-13 11:44:20
date last changed
2024-09-02 01:56:29
@article{e8f50513-5f60-4155-81df-1c8f304a3630,
  abstract     = {{<p>We revisit the classical problem of when a given function, which is analytic in the upper half plane ℂ<sub>+</sub>, can be written as the Fourier transform of a function or distribution with support on a half axis (-∞, b], b∈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<sup>p</sup>(ℂ<sub>+</sub>).</p>}},
  author       = {{Carlsson, Marcus and Wittsten, Jens}},
  issn         = {{0025-5521}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{225--248}},
  publisher    = {{Matematisk Institut}},
  series       = {{Mathematica Scandinavica}},
  title        = {{A Note on holomorphic functions and the fourier-laplace transform}},
  url          = {{http://dx.doi.org/10.7146/math.scand.a-25612}},
  doi          = {{10.7146/math.scand.a-25612}},
  volume       = {{120}},
  year         = {{2017}},
}