F. N. Garif'yanov, E. V. Strezhneva, “On a system of entire functions of class A which is biorthogonal to a lacunar power system on the ray”, Sibirsk. Mat. Zh., 2017, Volume 58, Number 1,Pages <nobr>83

This article is cited in 3 papers

On a system of entire functions of class A which is biorthogonal to a lacunar power system on the ray

F. N. Garif'yanov^a, E. V. Strezhneva^b

^a Kazan State Power Engineering University, Kazan, Russia
^b Kazan National Research Technical University named after A. N. Tupolev, Kazan, Russia

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.

Keywords: entire function of class A, regularization method, moment problem.

UDC: 517

MSC: 35R30

Received: 13.10.2015

DOI: 10.17377/smzh.2017.58.108