Email this article On Hilbert Spaces of Entire Functions with Unconditional Bases of Reproducing Kernels
- Authors: Isaev K.P.1,2, Yulmukhametov R.S.1,2
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Affiliations:
- Institute of Mathematics with Computing Center, Ufa Federal Research Center
- Bashkir State University
- Issue: Vol 40, No 9 (2019)
- Pages: 1283-1294
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205464
- DOI: https://doi.org/10.1134/S1995080219090087
- ID: 205464
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Abstract
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.
About the authors
K. P. Isaev
Institute of Mathematics with Computing Center, Ufa Federal Research Center; Bashkir State University
Author for correspondence.
Email: orbit81@list.ru
Russian Federation, Ufa, 450008; Ufa, 450076
R. S. Yulmukhametov
Institute of Mathematics with Computing Center, Ufa Federal Research Center; Bashkir State University
Author for correspondence.
Email: yulmukhametov@mail.ru
Russian Federation, Ufa, 450008; Ufa, 450076
