Interpolation Problems for Entire Functions Induced by Regular Hexagons
- Authors: Garif’yanov F.N.1, Strezhneva E.V.2
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Affiliations:
- Kazan State Power Engineering University
- Kazan National Research Technical University named after A. N. Tupolev
- Issue: Vol 59, No 1 (2018)
- Pages: 59-64
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171653
- DOI: https://doi.org/10.1134/S003744661801007X
- ID: 171653
Cite item
Abstract
We consider linear equations for analytic functions in the plane with cuts along a “half” of the boundary of a hexagon. We propose a regularization method, reducing them to an equation with difference kernel. Applications are given to the moment problem for entire functions of exponential type.
About the authors
F. N. Garif’yanov
Kazan State Power Engineering University
Author for correspondence.
Email: f.garifyanov@mail.ru
Russian Federation, Kazan
E. V. Strezhneva
Kazan National Research Technical University named after A. N. Tupolev
Email: f.garifyanov@mail.ru
Russian Federation, Kazan
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