Interpolation Problems for Entire Functions Induced by Regular Hexagons


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Abstract

We consider linear equations for analytic functions in the plane with cuts along a “half” of the boundary of a hexagon. We propose a regularization method, reducing them to an equation with difference kernel. Applications are given to the moment problem for entire functions of exponential type.

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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