Riemann boundary-value problem for holomorphic matrices on non-rectifiable curve
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2017), pp. 22-33
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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
Mots-clés : non-rectifiable curve.
Mots-clés : non-rectifiable curve.
@article{IVM_2017_2_a2,
author = {B. A. Kats},
title = {Riemann boundary-value problem for holomorphic matrices on non-rectifiable curve},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {22--33},
publisher = {mathdoc},
number = {2},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2017_2_a2/}
}
B. A. Kats. Riemann boundary-value problem for holomorphic matrices on non-rectifiable curve. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2017), pp. 22-33. http://geodesic.mathdoc.fr/item/IVM_2017_2_a2/