Generating Functions for Bases in Hilbert Spaces of Entire Functions
- Авторы: Isaev K.P.1,2, Lutsenko A.V.2, Yulmukhametov R.S.1,2
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Учреждения:
- Institute of Mathematics with Computer Center of the Russian Academy of Sciences
- Bashkir State University
- Выпуск: Том 241, № 6 (2019)
- Страницы: 718-726
- Раздел: 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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Аннотация
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.
Об авторах
K. Isaev
Institute of Mathematics with Computer Center of the Russian Academy of Sciences; Bashkir State University
Автор, ответственный за переписку.
Email: orbit81@list.ru
Россия, Ufa; Ufa
A. Lutsenko
Bashkir State University
Email: orbit81@list.ru
Россия, Ufa
R. Yulmukhametov
Institute of Mathematics with Computer Center of the Russian Academy of Sciences; Bashkir State University
Email: orbit81@list.ru
Россия, Ufa; Ufa
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