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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 2, Pages 22–33
(Mi ivm9205)
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This article is cited in 3 scientific papers (total in 3 papers)
Riemann boundary-value problem for holomorphic matrices on non-rectifiable curve
B. A. Kats Kazan (Volga Region) Federal University,
18 Kremlyovskaya str., Kazan, 420008, Russia
Abstract:
We study the Riemann boundary-value problem on non-rectifiable curves for holomorphic matrices with Fokas–Its–Kitaev asymptotics by means of the Cauchy transforms of certain distributions with supports on that curves. The main results concern the existence of solutions of sufficiently large degree.
Keywords:
holomorphic matrix, Riemann boundary-value problem, non-rectifiable curve.
Received: 01.06.2015
Citation:
B. A. Kats, “Riemann boundary-value problem for holomorphic matrices on non-rectifiable curve”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 2, 22–33; Russian Math. (Iz. VUZ), 61:2 (2017), 17–27
Linking options:
https://www.mathnet.ru/eng/ivm9205 https://www.mathnet.ru/eng/ivm/y2017/i2/p22
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Abstract page: | 260 | Full-text PDF : | 58 | References: | 50 | First page: | 6 |
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