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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.

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References

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Authors and Affiliations

  1. Kazan State Power Engineering University, ul. Krasnosel’skaya 51, Kazan, 420066, Russia

    F. N. Garif’yanov

Authors
  1. F. N. Garif’yanov
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Correspondence to F. N. Garif’yanov.

Additional information

Original Russian Text © F.N. Garif’yanov, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 1, pp. 27–33.

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Garif’yanov, F.N. On Summary Equation Generated by a Quadrangle. Russ Math. 62, 23–28 (2018). https://doi.org/10.3103/S1066369X18010048

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  • DOI: https://doi.org/10.3103/S1066369X18010048

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