On a system of entire functions of class A which is biorthogonal to a lacunar power system on the ray
- Authors: Garif’yanov F.N.1, Strezhneva E.V.2
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Affiliations:
- Kazan State Power Engineering University
- Kazan National Research Technical University named after A. N. Tupolev
- Issue: Vol 58, No 1 (2017)
- Pages: 63-66
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170927
- DOI: https://doi.org/10.1134/S0037446617010086
- ID: 170927
Cite item
Abstract
We construct a system of entire functions of exponential type of class A biorthogonal with weight to some power system on the ray. The indicator diagram of such a function is a segment of the imaginary axis. Functions analytic in a circular lacuna are represented by biorthogonal series.
About the authors
F. N. Garif’yanov
Kazan State Power Engineering University
Author for correspondence.
Email: f.garifyanov@mail.ru
Russian Federation, Kazan
E. V. Strezhneva
Kazan National Research Technical University named after A. N. Tupolev
Email: f.garifyanov@mail.ru
Russian Federation, Kazan