A boundary value problem for Hermitian monogenic functions

DOI10.1155/2008/385874zbMath1154.30036OpenAlexW3146112467MaRDI QIDQ937502

Dixan Peña Peña, Ricardo Abreu-Blaya, Fransiscus Sommen, Juan Bory-Reyes

Publication date: 15 August 2008

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

Full work available at URL: https://eudml.org/doc/55016

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (10)

On fundamental solutions in Clifford analysis ⋮ Duality for Hermitean systems in \(\mathbb R^{2n}\) ⋮ A Hilbert transform for matrix functions on fractal domains ⋮ Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis ⋮ A matrix Hilbert transform in Hermitean Clifford analysis ⋮ Hermitean Téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces ⋮ Hermitian decomposition of continuous functions on a fractal surface ⋮ A Hermitian Cauchy formula on a domain with fractal boundary ⋮ Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces ⋮ Boundary value problems associated to a Hermitian Helmholtz equation

Cites Work

• Fundaments of Hermitean Clifford analysis. I: Complex structure
• Clifford Cauchy type integrals on Ahlfors-David regular surfaces in \(\mathbb R^{m+1}\)
• On the Laplacian vector fields theory in domains with rectifiable boundary
• Hermitian Clifford analysis and resolutions
• Fundaments of Hermitean Clifford analysis part II: splitting ofh-monogenic equations

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