The torus related Riemann problem

DOI10.1016/j.jmaa.2006.03.011zbMath1110.32002OpenAlexW2026804708MaRDI QIDQ860968

Alip Mohammed

Publication date: 9 January 2007

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.2006.03.011

zbMATH Keywords

holomorphic functionsRiemann-Hilbert problemsseveral complex variablesPlemelj-Sokhotzki formulaRiemann jump problemtorus domains

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Boundary behavior of holomorphic functions of several complex variables (32A40) Other generalizations of function theory of one complex variable (32A30)

Related Items

Multivariate orthogonal Laurent polynomials and integrable systems, The Riemann-Hilbert problem for certain poly domains and its connection to the Riemann problem, Riemann-Hilbert problems for Hardy space of meta-analytic functions on the unit disc

Cites Work

• 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
• Problems of linear conjugacy of holomorphic functions of several complex variables
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