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

[31] ON SOLUTION OF A KIND OF RIEMANN BOUNDARY VALUE PROBLEM WITH SQUARE ROOTS
路见可
ActaMathematicaScientia, 2002, (02) : 145 - 149
[32] On the Number of Linearly Independent Solutions of the Riemann Boundary Value Problem on the Riemann Surface of an Algebraic Function
Kruglov, V. E.
RUSSIAN MATHEMATICS, 2021, 65 (10) : 10 - 30
[33] On the Number of Linearly Independent Solutions of the Riemann Boundary Value Problem on the Riemann Surface of an Algebraic Function
V. E. Kruglov
Russian Mathematics, 2021, 65 : 10 - 30
[34] On a Riemann boundary value problem for weighted spaces in the half-plane
Hayrapetyan, H. M.
Aghekyan, S. A.
ARMENIAN JOURNAL OF MATHEMATICS, 2019, 11 (07): : 1 - 14
[35] On Riemann Boundary-Value Problem for Regular Functions in Clifford Algebras
Kuznetsov S.P.
Mochalov V.V.
Chuev V.P.
Russian Mathematics, 2018, 62 (1) : 36 - 49
[36] The New Approach to Solving the Riemann Boundary Value Problem with Infinite Index
Salimov, R. B.
Karabasheva, E. N.
IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2014, 14 (02): : 155 - 165
[37] The Riemann Boundary Value Problem for Generalized Analytical Functions with Supersingular Points on the Contour of the Boundary Condition
Shabalin, P. L.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2024, 45 (10) : 5244 - 5253
[38] Noether property and approximate solution of the Riemann boundary value problem on closed curves
Bory-Reyes, Juan
Katz, David
ANALYSIS AND MATHEMATICAL PHYSICS, 2021, 11 (04)
[39] Hyperanalytic Riemann boundary value problem on d-summable closed curves
Abreu-Blaya, Ricardo
Bory-Reyes, Juan
Vilaire, Jean-Marie
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 361 (02) : 579 - 586
[40] The Riemann boundary value problem related to the time-harmonic Maxwell equations
Pei Yang
Liping Wang
Zuoliang Xu
Journal of Inequalities and Applications, 2021

← 1 2 3 4 5 →