On the \(\Pi\)-operator in hyperholomorphic function theory

DOI10.1007/BF03041935zbMath0947.30036OpenAlexW1966810234WikidataQ58038961 ScholiaQ58038961MaRDI QIDQ1975587

Klaus Gürlebeck, Michael V. Shapiro, Uwe Kaehler

Publication date: 27 April 2000

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03041935

zbMATH Keywords

quaternionic analysis\(\Pi\)-operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items

On \((\phi,\psi)\)-inframonogenic functions in Clifford analysis ⋮ On some structural sets and a quaternionic (φ,ψ)-hyperholomorphic function theory ⋮ On weighted Dirac operators and their fundamental solutions for anisotropic media ⋮ On the \(\Pi\)-operator in Clifford analysis ⋮ Iterated generalized Dirac operators of mixed sides ⋮ On the \(\phi \)-hyperderivative of the \(\psi \)-Cauchy-type integral in Clifford analysis ⋮ A short note on the local solvability of the quaternionic Beltrami equation ⋮ Reconstruction of solutions to a generalized Moisil-Teodorescu system in Jordan domains with rectifiable boundary ⋮ On weighted dirac operators and their fundamental solutions ⋮ Isomorphisms of partial differential equations in Clifford analysis ⋮ On a generalized Lamé-Navier system in \(\mathbb{R}^3\)

Cites Work

• On the Bergmann kernel function in hyperholomorphic analysis
• Definition and properties of a hypercomplex singular integral operator
• On a spatial generalization of the complex \(\Pi\)-operator
• Anwendung der analytischen Theorie der Quaternionen zur Lösung räumlicher Probleme der linearen Elastizität in beschränkten Gebieten
• Differentiation of the Martinelli‐Bochner Integrals and the Notion of Hyperderivability
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