Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis

DOI10.1080/17476933.2011.626034zbMath1318.30073OpenAlexW2067098735MaRDI QIDQ2855968

Ricardo Abreu-Blaya, Hennie De Schepper, Juan Bory-Reyes, Fred Brackx, Fransiscus Sommen

Publication date: 23 October 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/4227806

zbMATH Keywords

Cauchy integralHilbert transformquaternionic Hermitian Clifford analysis

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (5)

Conjugate harmonic functions of Fueter type ⋮ Fischer decomposition in symplectic harmonic analysis ⋮ Unnamed Item ⋮ Fundaments of quaternionic Clifford analysis. I: Quaternionic structure ⋮ Boundary value problems on fractal hypersurfaces for the quaternionic Hermitian system in \(\mathbb R^{4n}\)

Cites Work

• Cauchy integral formulae in quaternionic Hermitean Clifford analysis
• A matrix Hilbert transform in Hermitean Clifford analysis
• Quaternionic Clifford analysis: the Hermitian setting
• The Hermitian Clifford analysis toolbox
• Fundaments of Hermitean Clifford analysis. I: Complex structure
• A Clifford algebraic framework for \(\mathfrak{sp}(m)\)-invariant differential operators
• Algebraic analysis of Hermitian monogenic functions
• Clifford Cauchy type integrals on Ahlfors-David regular surfaces in \(\mathbb R^{m+1}\)
• Quaternionic Hermitian spinor systems and compatibility conditions
• Fundaments of Hermitean Clifford analysis part II: splitting ofh-monogenic equations

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