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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
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
  • scopus:85019667644
  • wos:000405257100005
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
2017-09-18 11:40:24
@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},
  volume       = {120},
  year         = {2017},
}