Conjugate harmonic functions in Euclidean space: a spherical approach

DOI10.1007/BF03321122zbMath1105.46022OpenAlexW2008462695MaRDI QIDQ2497133

Hennie De Schepper, Fred Brackx

Publication date: 1 August 2006

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321122

zbMATH Keywords

Clifford analysisconjugate harmonic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Operations with distributions and generalized functions (46F10)

Related Items (9)

Hilbert transforms on the sphere with the Clifford algebra setting ⋮ Schwarz problems for poly-Hardy space on the unit ball ⋮ General solution of the inhomogeneous div-curl system and consequences ⋮ Subharmonicity and a version of Riesz theorem on harmonic conjugates ⋮ Riemann-Hilbert problems for poly-Hardy space on the unit ball ⋮ On \(p\)-harmonic mappings in the plane ⋮ On the interplay between the Hilbert transform and conjugate harmonic functions ⋮ Harmonic conjugates in weighted Bergman spaces of quaternion-valued functions ⋮ On Riesz systems of harmonic conjugates in R3

Cites Work

• On the theory of harmonic functions of several variables
• Conjugate harmonic functions and Clifford algebras
• On harmonic potential fields and the structure of monogenic functions
• On the hilbert operator for α-hyperholomorphic function theory in
• A new Hilbert transform on the unit sphere in
• On conjugate harmonic functions in Euclidean space
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