Generating Functions for Bases in Hilbert Spaces of Entire Functions
- Авторлар: Isaev K.P.1,2, Lutsenko A.V.2, Yulmukhametov R.S.1,2
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Мекемелер:
- Institute of Mathematics with Computer Center of the Russian Academy of Sciences
- Bashkir State University
- Шығарылым: Том 241, № 6 (2019)
- Беттер: 718-726
- Бөлім: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242935
- DOI: https://doi.org/10.1007/s10958-019-04457-w
- ID: 242935
Дәйексөз келтіру
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.
Авторлар туралы
K. Isaev
Institute of Mathematics with Computer Center of the Russian Academy of Sciences; Bashkir State University
Хат алмасуға жауапты Автор.
Email: orbit81@list.ru
Ресей, Ufa; Ufa
A. Lutsenko
Bashkir State University
Email: orbit81@list.ru
Ресей, Ufa
R. Yulmukhametov
Institute of Mathematics with Computer Center of the Russian Academy of Sciences; Bashkir State University
Email: orbit81@list.ru
Ресей, Ufa; Ufa
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