On a Classic Moment Problem for Entire Functions


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Abstract

The paper considers a poly-element linear equation for odd functions that are analytic on the plane with a cut along the interval [−i, i] of the imaginary axis. The results obtained here are used in the study of the lacunary Stieltjes moment problem for entire functions of exponential type.

About the authors

F. N. Garifyanov

Kazan State Power Engineering University

Author for correspondence.
Email: f.garifyanov@mail.ru
Russian Federation, ul. Krasnosel’skaya 51, Kazan, Tatarstan, 420008

E. V. Strezhneva

Kazan National Research Technical University

Email: f.garifyanov@mail.ru
Russian Federation, ul. K. Marksa 10, Kazan, Tatarstan, 420111


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