On Hilbert Spaces of Entire Functions with Unconditional Bases of Reproducing Kernels
- 作者: Isaev K.1,2, Yulmukhametov R.1,2
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隶属关系:
- Institute of Mathematics with Computing Center, Ufa Federal Research Center
- Bashkir State University
- 期: 卷 40, 编号 9 (2019)
- 页面: 1283-1294
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205464
- DOI: https://doi.org/10.1134/S1995080219090087
- ID: 205464
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详细
We consider an entire function under certain conditions on the distribution of its zeros. We construct a Hilbert space of entire functions which possess unconditional basis of reproducing kernels at zeros of this function. It is proved that some known Hilbert spaces of entire functions with unconditional bases of reproducing kernels are isomorphic (as normalized spaces) to the corresponding spaces constructed by the entire functions generating the bases.
作者简介
K. Isaev
Institute of Mathematics with Computing Center, Ufa Federal Research Center; Bashkir State University
编辑信件的主要联系方式.
Email: orbit81@list.ru
俄罗斯联邦, Ufa, 450008; Ufa, 450076
R. Yulmukhametov
Institute of Mathematics with Computing Center, Ufa Federal Research Center; Bashkir State University
编辑信件的主要联系方式.
Email: yulmukhametov@mail.ru
俄罗斯联邦, Ufa, 450008; Ufa, 450076