Higher order Borel-Pompeiu representations in Clifford analysis

DOI10.1002/mma.3798zbMath1355.30044OpenAlexW2217103558MaRDI QIDQ2831022

Alí Guzmán Adán, Juan Bory-Reyes, Hennie De Schepper, Fransiscus Sommen

Publication date: 1 November 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/8135233

zbMATH Keywords

Clifford analysisBorel-Pompeiu representation, higher-order Cauchy-type integral

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (9)

A QUATERNIONIC FRACTIONAL BOREL–POMPEIU-TYPE FORMULA ⋮ On a Riemann-Hilbert boundary value problem for \((\varphi,\psi)\)-harmonic functions in \(\mathbb{R}^m\) ⋮ On a Riemann-Hilbert problem for \(\Psi\)-hyperholomorphic functions in \(\mathbb{R}^m\) ⋮ Integral formulas for higher order conformally invariant fermionic operators ⋮ Iterated generalized Dirac operators of mixed sides ⋮ Singular integral operators and a \(\overline{\partial}\)-problem for \((\varphi, \psi)\)-harmonic functions ⋮ On a mixed Fischer decomposition in Clifford analysis ⋮ Generalizations of harmonic functions in \(\mathbb{R}^m\) ⋮ Isomorphisms of partial differential equations in Clifford analysis

Cites Work

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• On the \(\Pi\)-operator in Clifford analysis
• Iterated integral operators in Clifford analysis
• On Cauchy-Pompeiu formula for functions with values in a universal Clifford algebra.
• Generalized integral representations for functions with values in \(C(V_{3,3})\)
• On a higher order Cauchy-Pompeiu formula for functions with values in a universal Clifford algebra
• Generalized integral representations in Clifford analysis
• On Certain Convolution Inequalities
• Integral Representations in Complex, Hypercomplex and Clifford Analysis

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