Email this article Generating Functions for Bases in Hilbert Spaces of Entire Functions
- Authors: Isaev K.P.1,2, Lutsenko A.V.2, Yulmukhametov R.S.1,2
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Affiliations:
- Institute of Mathematics with Computer Center of the Russian Academy of Sciences
- Bashkir State University
- Issue: Vol 241, No 6 (2019)
- Pages: 718-726
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242935
- DOI: https://doi.org/10.1007/s10958-019-04457-w
- ID: 242935
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Abstract
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.
About the authors
K. P. Isaev
Institute of Mathematics with Computer Center of the Russian Academy of Sciences; Bashkir State University
Author for correspondence.
Email: orbit81@list.ru
Russian Federation, Ufa; Ufa
A. V. Lutsenko
Bashkir State University
Email: orbit81@list.ru
Russian Federation, Ufa
R. S. Yulmukhametov
Institute of Mathematics with Computer Center of the Russian Academy of Sciences; Bashkir State University
Email: orbit81@list.ru
Russian Federation, Ufa; Ufa
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