About Functional Equation, Generated by Equilateral Triangle
- 作者: Garifyanov F.1, Strezhneva E.2
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隶属关系:
- Kazan State Power Engineering University
- Kazan National Research Technical University
- 期: 卷 39, 编号 2 (2018)
- 页面: 204-208
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201399
- DOI: https://doi.org/10.1134/S1995080218020129
- ID: 201399
如何引用文章
详细
We considered 6-fold linear equation in the class of analytic functions outside the equilateral triangle and vanishing at infinity. We proposed a method of equivalent regularization, using the theory of boundary value problem of Carleman. Also, the paper is dedicated to applications to the problem of moments for entire functions of exponential type. In particular, we construct a system of functions biorthogonal whit piecewise-quasipolynomial weight to some power system on the three rays. The indicator of such functions is a piecewise-trigonometric function, with a period of 2π/3.
作者简介
F. Garifyanov
Kazan State Power Engineering University
编辑信件的主要联系方式.
Email: f.garifyanov@mail.ru
俄罗斯联邦, ul. Krasnosel’skaya 51, Kazan, Tatarstan, 420008
E. Strezhneva
Kazan National Research Technical University
Email: f.garifyanov@mail.ru
俄罗斯联邦, ul. K. Marksa 10, Kazan, Tatarstan, 420111