K. P. Isaev, R. S. Yulmukhametov, “Equivalent conditions for the existence of unconditional bases of reproducing kernels in spaces of entire functions”, Пробл. анал. Issues Anal., 2021, том 10(28), выпуск 3,страницы 41

Эта публикация цитируется в 2 статьях

Equivalent conditions for the existence of unconditional bases of reproducing kernels in spaces of entire functions

K. P. Isaev, R. S. Yulmukhametov

Institute of Mathematics, Ufa Federal Research Centre, Russian Academy of Sciences (Institute of Mathematics UFRC RAS), 112, Chernyshevsky str., Ufa, Russia, 450008

Аннотация: We consider a reproducing kernel radial Hilbert space of entire functions and prove the equivalence of several sufficient conditions for the existence of unconditional bases of reproducing kernels in such spaces.

Ключевые слова: Hilbert spaces, entire functions, reproducing kernels, unconditional bases, Riesz bases.

УДК: 517.53

MSC: 46E22, 30D10

Поступила в редакцию: 24.05.2021
Исправленный вариант: 04.10.2021
Принята в печать: 05.10.2021

Язык публикации: английский

DOI: 10.15393/j3.art.2021.10910