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


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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


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