Generating Functions for Bases in Hilbert Spaces of Entire Functions
- 作者: Isaev K.P.1,2, Lutsenko A.V.2, Yulmukhametov R.S.1,2
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隶属关系:
- Institute of Mathematics with Computer Center of the Russian Academy of Sciences
- Bashkir State University
- 期: 卷 241, 编号 6 (2019)
- 页面: 718-726
- 栏目: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242935
- DOI: https://doi.org/10.1007/s10958-019-04457-w
- ID: 242935
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详细
We prove that unconditional bases in a functional Hilbert space H have a generating function if and only if the space H is stable. Necessary and sufficient conditions for the stability of spaces adjoint to weighted spaces on an interval are obtained.
作者简介
K. Isaev
Institute of Mathematics with Computer Center of the Russian Academy of Sciences; Bashkir State University
编辑信件的主要联系方式.
Email: orbit81@list.ru
俄罗斯联邦, Ufa; Ufa
A. Lutsenko
Bashkir State University
Email: orbit81@list.ru
俄罗斯联邦, Ufa
R. Yulmukhametov
Institute of Mathematics with Computer Center of the Russian Academy of Sciences; Bashkir State University
Email: orbit81@list.ru
俄罗斯联邦, Ufa; Ufa
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