Enviar artigo por via de e-mail Generating Functions for Bases in Hilbert Spaces of Entire Functions
- Autores: Isaev K.P.1,2, Lutsenko A.V.2, Yulmukhametov R.S.1,2
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Afiliações:
- Institute of Mathematics with Computer Center of the Russian Academy of Sciences
- Bashkir State University
- Edição: Volume 241, Nº 6 (2019)
- Páginas: 718-726
- Seção: 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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Resumo
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.
Sobre autores
K. Isaev
Institute of Mathematics with Computer Center of the Russian Academy of Sciences; Bashkir State University
Autor responsável pela correspondência
Email: orbit81@list.ru
Rússia, Ufa; Ufa
A. Lutsenko
Bashkir State University
Email: orbit81@list.ru
Rússia, Ufa
R. Yulmukhametov
Institute of Mathematics with Computer Center of the Russian Academy of Sciences; Bashkir State University
Email: orbit81@list.ru
Rússia, Ufa; Ufa
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