Riemann boundary value problem on periodic non-rectifiable curve

被引：1
|
作者：
Katz, D. B. [1 ]
Kats, B. A. [1 ]
机构：
[1] Kazan Volga Reg Fed Univ, Inst Math & Mech, Kazan, Russia
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2017年 / 62卷 / 06期
关键词：
Riemann boundary value problem; periodic function; infinite non-rectifiable path;
D O I：
10.1080/17476933.2016.1243666
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We solve the Riemann boundary value problem for holomorphic functions on a periodic non-rectifiable curve. Probably, this is the first study of the Riemann problem on infinite curve, which is not rectifiable. The solution is obtained in terms of generalized integrals over non-rectifiable path.
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页码：739 / 747
页数：9
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