A Note on holomorphic functions and the fourier-laplace transform
(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:
https://lup.lub.lu.se/record/e8f50513-5f60-4155-81df-1c8f304a3630
- author
- Carlsson, Marcus LU and Wittsten, Jens LU
- organization
- publishing date
- 2017
- 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
- 2024-10-14 07:47:45
@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}}, }