Cauchy integral formulae in quaternionic Hermitean Clifford analysis

DOI10.1007/s11785-011-0168-8zbMath1275.30017OpenAlexW2079628345MaRDI QIDQ371726

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

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/3032976

zbMATH Keywords

Cauchy integral formulaquaternionic Hermitean Clifford analysis

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (16)

An efficient method for singular integral equations of non-normal type with two convolution kernels ⋮ Linear BVPs and SIEs for generalized regular functions in Clifford analysis ⋮ Existence of analytic solutions for some classes of singular integral equations of non-normal type with convolution kernel ⋮ Cauchy’s Formula in Clifford Analysis: An Overview ⋮ Uniqueness and existence of solutions to some kinds of singular convolution integral equations with Cauchy kernel via R-H problems ⋮ Fischer decomposition in symplectic harmonic analysis ⋮ The Cauchy integral formula in Hermitian, quaternionic and \(\mathfrak{osp}(4|2)\) Clifford analysis ⋮ Unnamed Item ⋮ Singular integral equations of convolution type with cosecant kernels and periodic coefficients ⋮ Fundaments of quaternionic Clifford analysis. I: Quaternionic structure ⋮ Split-quaternionic Hermitian Clifford analysis ⋮ Solvability of some classes of singular integral equations of convolution type via Riemann-Hilbert problem ⋮ Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis ⋮ ON SOLVABILITY OF SINGULAR INTEGRAL-DIFFERENTIAL EQUATIONS WITH CONVOLUTION ⋮ Boundary value problems on fractal hypersurfaces for the quaternionic Hermitian system in \(\mathbb R^{4n}\) ⋮ Bicomplex Hermitian Clifford analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis
• A Hermitian Cauchy formula on a domain with fractal boundary
• Quaternionic Clifford analysis: the Hermitian setting
• The Hermitian Clifford analysis toolbox
• Hermitian decomposition of continuous functions on a fractal surface
• Fundaments of Hermitean Clifford analysis. I: Complex structure
• Algebraic analysis of Hermitian monogenic functions
• Quaternionic Hermitian spinor systems and compatibility conditions
• Complexified clifford analysis
• Hermitian Clifford analysis and resolutions
• Fundaments of Hermitean Clifford analysis part II: splitting ofh-monogenic equations

This page was built for publication: Cauchy integral formulae in quaternionic Hermitean Clifford analysis