Boundary value problems for the quaternionic Hermitian system in \(\mathbb R^{4n}\)

DOI10.1186/1687-2770-2012-74zbMath1276.30058OpenAlexW2115431234WikidataQ59289183 ScholiaQ59289183MaRDI QIDQ377688

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

Publication date: 7 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-74

zbMATH Keywords

Cauchy integral formulaquaternionic Clifford analysis

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items

Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem ⋮ Some classes of equations of discrete type with harmonic singular operator and convolution ⋮ Unnamed Item ⋮ One class of generalized boundary value problem for analytic functions ⋮ The solvability of a kind of generalized Riemann-Hilbert problems on function spaces \(H_{\ast }\) ⋮ ON SOLVABILITY OF SINGULAR INTEGRAL-DIFFERENTIAL EQUATIONS WITH CONVOLUTION

Cites Work

• Jump problem and removable singularities for monogenic functions
• 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
• Fundaments of Hermitean Clifford analysis part II: splitting ofh-monogenic equations