|
This article is cited in 5 scientific papers (total in 5 papers)
Multielement equations for analytic functions in the plane with cuts
F. N. Garif'yanov Kazan State Power Engineering University, Kazan, Russia
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.
Keywords:
equivalent regularization, Carleman problem, moment problem for entire functions of exponential type.
Received: 11.03.2015
Citation:
F. N. Garif'yanov, “Multielement equations for analytic functions in the plane with cuts”, Sibirsk. Mat. Zh., 57:2 (2016), 276–281; Siberian Math. J., 57:2 (2016), 213–217
Linking options:
https://www.mathnet.ru/eng/smj2743 https://www.mathnet.ru/eng/smj/v57/i2/p276
|
Statistics & downloads: |
Abstract page: | 167 | Full-text PDF : | 57 | References: | 45 |
|