Lobachevskii Journal of Mathematics

, Volume 39, Issue 2, pp 204–208 | Cite as

About Functional Equation, Generated by Equilateral Triangle

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Abstract

We considered 6-fold linear equation in the class of analytic functions outside the equilateral triangle and vanishing at infinity. We proposed a method of equivalent regularization, using the theory of boundary value problem of Carleman. Also, the paper is dedicated to applications to the problem of moments for entire functions of exponential type. In particular, we construct a system of functions biorthogonal whit piecewise-quasipolynomial weight to some power system on the three rays. The indicator of such functions is a piecewise-trigonometric function, with a period of 2π/3.

Keywords and phrases

Problem of moments for entire functions of exponential type method of regularization Karleman boundary-value problems 

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References

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© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Kazan State Power Engineering UniversityKazan, TatarstanRussia
  2. 2.Kazan National Research Technical UniversityKazan, TatarstanRussia

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