On harmonic potential fields and the structure of monogenic functions

DOI10.4171/ZAA/1144zbMath1051.30047OpenAlexW2054530618MaRDI QIDQ1876012

Richard Delanghe, Fred Brackx

Publication date: 6 September 2004

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1144

zbMATH Keywords

monogenic functionharmonic potential fieldsolid harmonic

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (13)

On homogeneous polynomial solutions of the Moisil-Théodoresco system in \(\mathbb R^{3}\) ⋮ Solutions of Lamé-Navier system in ball shell domain ⋮ On the solutions of the Moisil–Théodoresco system ⋮ Conjugate harmonic functions in Euclidean space: a spherical approach ⋮ On homogeneous polynomial solutions of the Riesz system and their harmonic potentials ⋮ On monogenic primitives of monogenic functions ⋮ Subharmonicity and a version of Riesz theorem on harmonic conjugates ⋮ Electrostatic fields in some special inhomogeneous media and new generalizations of the Cauchy-Riemann system ⋮ Representation of Weinstein \(k\)-monogenic functions by differential operators ⋮ Dirichlet boundary value problem for monogenic functions in Clifford analysis ⋮ Harmonic conjugates in weighted Bergman spaces of quaternion-valued functions ⋮ On primitives of monogenic functions ⋮ On Riesz systems of harmonic conjugates in R3

Cites Work

• On the theory of harmonic functions of several variables
• Clifford wavelets, singular integrals, and Hardy spaces
• On the harmonic and monogenic decomposition of polynomials
• On boundary value problems of riemann-hilbert type for monogenic functions in a half space of
• On conjugate harmonic functions in Euclidean space
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