Some properties of a Cauchy type integral in a three-dimensional commutative algebra with one-dimensional radical

DOI10.1007/s00605-019-01288-4zbMath1422.30073OpenAlexW2926987795WikidataQ112879356 ScholiaQ112879356MaRDI QIDQ2003537

Roman Pukhtaievych, Sergiy A. Plaksa

Publication date: 9 July 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-019-01288-4

zbMATH Keywords

monogenic functionsCauchy type integralSokhotskii-Plemelj formulas

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Functions of hypercomplex variables and generalized variables (30G35)

Cites Work

• Curvilinear integral theorems for monogenic functions in commutative associative algebras
• On the logarithmic residues of monogenic functions in a three-dimensional harmonic algebra with two-dimensional radical
• Reduction of a Schwartz-type boundary value problem for biharmonic monogenic functions to Fredholm integral equations
• Boundary-value problems and singular equations on a rectifiable contour
• First order elliptic systems. A function theoretic approach
• Riemann boundary problem with infinite index of logarithmic order on a spiral-form contour. I
• Finite-difference smoothness of Cauchy-type integrals
• Riemann boundary value problem for hyperanalytic functions
• On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical
• Cauchy integral and singular integral operator over closed Jordan curves
• Hyperanalytic riemann boundary value problems on rectifiable closed curves
• Estimate of the modulus of continuity of a cauchy-type integral in a domain and on its boundary
• Conjugate hyperharmonic functions and cauchy type integrals in douglis analysis
• On the modulus of continuity of solid derivatives of a Cauchy-type integral
• Application of an Algebraic Technique to the Solution of Laplace’s Equation in Three Dimensions
• A function‐theoretic approach to elliptic systems of equations in two variables
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