The Riemann-Hilbert problem for certain poly domains and its connection to the Riemann problem

DOI10.1016/j.jmaa.2008.01.053zbMath1146.30019OpenAlexW2047733614MaRDI QIDQ924204

Alip Mohammed

Publication date: 15 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.01.053

zbMATH Keywords

analytic functionsholomorphic functionsseveral complex variablespoly domainthe Riemann-Hilbert problem

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Other generalizations of function theory of one complex variable (32A30)

Related Items (4)

Multivariate orthogonal Laurent polynomials and integrable systems ⋮ Dirichlet Type Problems in Polydomains ⋮ Riemann-Hilbert problems for Hardy space of meta-analytic functions on the unit disc ⋮ On compound Riemann Hilbert boundary value problem in the framework of variable exponent spaces

Cites Work

• The torus related Riemann problem
• Analysis of conditions of solvability for a class of space Riemann problems
• Analysis IV. Linear and boundary integral equations. Transl. from the Russian by A. Böttcher and S. Prössdorf
• A generalized Riemann boundary problem in two variables
• Spatial Riemann problem for analytic functions of two complex variables
• Fourier method for an over-determined elliptic system with several complex variables
• The Schwarz problem for analytic functions in torus-related domains
• Application of the Fourier method to the solution of boundary value problems for functions analytic in disk bidomains
• Nonlinear Riemann—Hilbert problems with Lipschitz continuous boundary condition
• Problems of linear conjugacy of holomorphic functions of several complex variables
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