On a Classic Moment Problem for Entire Functions
- Authors: Garifyanov F.N.1, Strezhneva E.V.2
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Affiliations:
- Kazan State Power Engineering University
- Kazan National Research Technical University
- Issue: Vol 39, No 6 (2018)
- Pages: 755-758
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202346
- DOI: https://doi.org/10.1134/S1995080218060069
- ID: 202346
Cite item
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