On Some Complex Differential and Singular Integral Operators

DOI10.1007/1-4020-2128-3_16zbMATH Open1085.31002OpenAlexW187750639MaRDI QIDQ5465169

Heinrich Begehr, Abduhamid Džuraev

Publication date: 22 August 2005

Published in: Topics in Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/1-4020-2128-3_16

zbMATH Keywords

Green functioninhomogeneous Cauchy-Riemann equationCauchy-Riemann systemCauchy-Pompeiu representationFueter systemAhlfors-Beurling transformationorthogonalized potential

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Singular integrals of functions in several complex variables (32A55)

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