The Plemelj-Sokhotski formulas associated to the \(k\)-Cauchy-Fueter operator

DOI10.1007/S00006-024-01359-2MaRDI QIDQ6640697

Wei Xia, Haiyan Wang

Publication date: 20 November 2024

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

zbMATH Keywords

\(k\)-Cauchy-Fueter operatorBochner-Martinelli formulaPlemelj-Sokhotski formulas

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26)

Cites Work

• Title not available (Why is that?)
• Boundary behavior of Cauchy-type integrals in Clifford analysis
• A matrix Hilbert transform in Hermitean Clifford analysis
• Cohomology and massless fields
• Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis
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• Plemelj projections in discrete quaternionic analysis
• A version of Schwarz lemma associated to the \(k\)-Cauchy-Fueter operator
• Bochner-Martinelli formula for \(k\)-Cauchy-Fueter operator
• The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions
• The tangential \(k\)-Cauchy-Fueter operator and \(k\)-CF functions over the Heisenberg group
• The tangential \(k\)-Cauchy-Fueter operator on right-type groups and its Bochner-Martinelli type formula
• Plemelj projection operators over domain manifolds
• Some properties ofk-hypergenic functions in Clifford analysis
• Complex manifolds and mathematical physics
• The Szegö kernel for k-CF functions on the quaternionic Heisenberg group

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