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Poly-element equations reducible to moment problem for entire functions of class A

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Abstract

We consider poly-element linear functional equations in the class of analytic functions in the complex plane with cuts along certain segments of imaginary axis. The obtained results are applied for study of the Stieltjes moment problem for entire functions of exponential type in the class A.

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References

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Correspondence to F. N. Garif’yanov.

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Original Russian Text © F.N. Garif’yanov, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 4, pp. 3–7.

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Garif’yanov, F.N. Poly-element equations reducible to moment problem for entire functions of class A. Russ Math. 61, 1–4 (2017). https://doi.org/10.3103/S1066369X17040016

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  • DOI: https://doi.org/10.3103/S1066369X17040016

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