Paley-Wiener properties for spaces of entire functions
Functional Analysis
2019-01-29 v4
Abstract
We deduce Paley-Wiener results in the Bargmann setting, which give characterisations of Pilipovi{\'c} spaces of low orders, extending the characterisation of a Gr{\"o}chenig test function space, deduced earlier by the third author.
Cite
@article{arxiv.1806.10752,
title = {Paley-Wiener properties for spaces of entire functions},
author = {E. Nabizadeh and C. Pfeuffer and J. Toft},
journal= {arXiv preprint arXiv:1806.10752},
year = {2019}
}
Comments
32 pages. Comments to 2nd version: A thorough revision has been performed. For example, complete reorganisations and reformulations of the results and main investigations in Section 2 have been performed. Hopefully the new style will be more attractive for the reader. Comments to 3-4rd versions: Some mistakes have been corrected. Section 3 added and concerns characterizations of Pilipovic spaces