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

共 50 条

[11] The Szegö function on a non-rectifiable arc
B. A. Kats
D. B. Kats
Russian Mathematics, 2012, 56 (4) : 9 - 18
[12] Riemann boundary value problem for doubly periodic polyanalytic functions
Duan, Ping
Wang, Ying
Wang, Yufeng
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (11) : 1882 - 1901
[13] RIEMANN BOUNDARY VALUE PROBLEM WITH RESPECT TO THE PERTURBATION OF BOUNDARY CURVE TO BE AN OPEN ARC
Lin Juan
Wang Chuanrong
ACTA MATHEMATICA SCIENTIA, 2009, 29 (05) : 1481 - 1488
[14] RIEMANN BOUNDARY VALUE PROBLEM WITH RESPECT TO THE PERTURBATION OF BOUNDARY CURVE TO BE AN OPEN ARC
林娟
王传荣
Acta Mathematica Scientia, 2009, 29 (05) : 1481 - 1488
[15] The Riemann Boundary Value Problem on a Closed Nonrectifiable Curve and the Cauchy Transform
Kats, B. A.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2011, 32 (04) : 438 - 445
[16] Integration of germs of differential forms over non-rectifiable paths
Katz, David
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2024, 30 (03):
[17] Non-Homogeneous Riemann Boundary Value Problem with Radicals
Lu Jian-ke School of Mathematics and Statistics
WuhanUniversityJournalofNaturalSciences, 2002, (04) : 379 - 382
[18] Riemann boundary-value problem for doubly-periodic bianalytic functions
Han, Huili
Liu, Hua
Wang, Yufeng
BOUNDARY VALUE PROBLEMS, 2018,
[19] Riemann boundary-value problem for doubly-periodic bianalytic functions
Huili Han
Hua Liu
Yufeng Wang
Boundary Value Problems, 2018
[20] A Generalized Riemann Boundary Value Problem
LIU Hua
WuhanUniversityJournalofNaturalSciences, 2000, (02) : 147 - 149

← 1 2 3 4 5 →