The Schwarz problem for infinite sets of intervals

We solve the Schwarz problem for boundary contours consisting of countable sets of segments with limit point at infinity, including the periodic case. The solution is a result of a reduction to corresponding Riemann boundary-value problems.

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Bibliographic Details
Published in:Russian mathematics 2016-02, Vol.60 (2), p.7-13
Main Authors: Vafina, L. I., Salekhova, I. G.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Online Access:Get full text
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Description
Summary:We solve the Schwarz problem for boundary contours consisting of countable sets of segments with limit point at infinity, including the periodic case. The solution is a result of a reduction to corresponding Riemann boundary-value problems.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X1602002X