Email this article Multielement equations for analytic functions in the plane with cuts
- Authors: Garif’yanov F.N.1
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Affiliations:
- Kazan State Power Engineering University
- Issue: Vol 57, No 2 (2016)
- Pages: 213-217
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170353
- DOI: https://doi.org/10.1134/S003744661602004X
- ID: 170353
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Abstract
We consider linear equations for analytic functions in the complex plane with cuts along a half of the boundary of a quadrangle. We propose a regularization method that reduces the equations to an equation with summary-difference kernels. Some 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
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