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.

引用

页码：739 / 747

页数：9

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