On Summary Equation Generated by a Quadrangle


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Abstract

We investigate a four-element functional equation in a class of solutions holomorphic outside a quadrangle and vanishing at infinity. We propose equivalent regularization method of such quadrangles. We construct examples with only single condition of solvability for such an equation. We show applications to moments 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, ul. Krasnosel’skaya 51, Kazan, 420066

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