整函数空间的 Paley-Wiener 性质
泛函分析
2019-01-29 v4
摘要
我们在 Bargmann 框架下推导了 Paley-Wiener 结果，给出了低阶 Pilipovi{\'c} 空间的刻画，推广了由第三作者早先推导出的 Gr{"o}chenig 检验函数空间的刻画。
引用
@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}
}
备注
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