Definition and properties of a hypercomplex singular integral operator

DOI10.1007/BF03323118zbMath0899.47036WikidataQ58197986 ScholiaQ58197986MaRDI QIDQ1205489

Helmuth R. Malonek, Bernd Müller

Publication date: 1 April 1993

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hölder continuous functionClifford analysisLipschitz surfaceLyapunov surfaceClifford-Cauchy kernelsingular Cauchy transform

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Integral operators (47G10) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items (6)

Some properties of operators in Clifford analysis ⋮ On a spatial generalization of the complex \(\Pi\)-operator ⋮ On a Dirichlet problem for a generalized Beltrami equation ⋮ Unnamed Item ⋮ On the \(\Pi\)-operator in hyperholomorphic function theory ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A theorem about the representation of linear combinations in Clifford algebras
• Analytische Funktionen einer Quaternionenvariablen
• On regular-analytic functions with values in a Clifford-algebra
• A new hypercomplex structure of the euclidean space R ^m+1 and the concept of hypercomplex differentiability

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