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On the four-element equation for the functions analytic beyond a trapezoid and its applications

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Abstract

The four-element linear functional equation is studied in the class of functions analytic beyond an isosceles trapezoid and vanishing at infinity. Some system of entire functions is constructed of completely regular growth biorthogonal with a piecewise exponential weight to the system of powers on the coordinate axis.

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Authors and Affiliations

  1. Kazan State Power Engineering University, Kazan, Russia

    F. N. Garif’yanov & S. A. Modina

Authors
  1. F. N. Garif’yanov
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  2. S. A. Modina
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Corresponding author

Correspondence to F. N. Garif’yanov.

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Original Russian Text Copyright © 2011 Garif’yanov F. N. and Modina S. A.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 52, No. 2, pp. 243–249, March–April, 2011.

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Garif’yanov, F.N., Modina, S.A. On the four-element equation for the functions analytic beyond a trapezoid and its applications. Sib Math J 52, 191–196 (2011). https://doi.org/10.1134/S0037446611020017

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  • DOI: https://doi.org/10.1134/S0037446611020017

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