On Hilbert Spaces of Entire Functions with Unconditional Bases of Reproducing Kernels
- Авторлар: Isaev K.1,2, Yulmukhametov R.1,2
-
Мекемелер:
- Institute of Mathematics with Computing Center, Ufa Federal Research Center
- Bashkir State University
- Шығарылым: Том 40, № 9 (2019)
- Беттер: 1283-1294
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205464
- DOI: https://doi.org/10.1134/S1995080219090087
- ID: 205464
Дәйексөз келтіру
Аннотация
We consider an entire function under certain conditions on the distribution of its zeros. We construct a Hilbert space of entire functions which possess unconditional basis of reproducing kernels at zeros of this function. It is proved that some known Hilbert spaces of entire functions with unconditional bases of reproducing kernels are isomorphic (as normalized spaces) to the corresponding spaces constructed by the entire functions generating the bases.
Негізгі сөздер
Авторлар туралы
K. Isaev
Institute of Mathematics with Computing Center, Ufa Federal Research Center; Bashkir State University
Хат алмасуға жауапты Автор.
Email: orbit81@list.ru
Ресей, Ufa, 450008; Ufa, 450076
R. Yulmukhametov
Institute of Mathematics with Computing Center, Ufa Federal Research Center; Bashkir State University
Хат алмасуға жауапты Автор.
Email: yulmukhametov@mail.ru
Ресей, Ufa, 450008; Ufa, 450076