Boundary properties of hypergenic-Cauchy type integrals in Clifford analysis

DOI10.1080/17476933.2012.744403zbMath1291.30017OpenAlexW2057445533MaRDI QIDQ5418585

Yong Hong Xie

Publication date: 26 May 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.744403

zbMATH Keywords

Plemelj formulareal Clifford analysisPrivalov theoremhypergenic functions

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (6)

Boundary value problems for hypergenic function vectors ⋮ Some properties of a T operator with B-m kernel in the complex Clifford analysis ⋮ Almansi-type decomposition theorem for bi-\(k\)-regular functions in the Clifford algebra \(Cl_{2n+2,0} (\mathbb{R})\) ⋮ Cauchy integral formula for k-monogenic function with \({\alpha}\)-weight ⋮ A new Cauchy integral formula in the complex Clifford analysis ⋮ Some properties ofk-hypergenic functions in Clifford analysis

Cites Work

• Hyperbolic function theory in the Clifford algebra \({\mathcal {C}}\ell_{n+1,0}\)
• Function theory for Laplace and Dirac-Hodge operators in hyperbolic space
• The Privalov Theorem of Some Singular Integral Operators in Real Clifford Analysis

This page was built for publication: Boundary properties of hypergenic-Cauchy type integrals in Clifford analysis