Multielement equations for analytic functions in the plane with cuts

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...

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Bibliographic Details
Published in:Siberian mathematical journal 2016-03, Vol.57 (2), p.213-217
Main Author: Garif’yanov, F. N.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:0037-4466
1573-9260
DOI:10.1134/S003744661602004X