On the solvability of the jump problem in Clifford analysis

DOI10.1007/s10958-013-1171-6zbMath1318.30072OpenAlexW2038181244MaRDI QIDQ357254

Juan Bory-Reyes, Boris A. Kats, Ricardo Abreu-Blaya

Publication date: 30 July 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1171-6

zbMATH Keywords

boundary valuesmonogenic functions

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Functions of hypercomplex variables and generalized variables (30G35) Boundary value problems in the complex plane (30E25)

Related Items (3)

Approximate dimension applied to criteria for monogenicity on fractal domains ⋮ Marcinkiewicz exponent and boundary value problems in fractal domains of \(\mathbb{R}^{n+1}\) ⋮ On Riemann boundary-value problem for regular functions in Clifford algebras

Cites Work

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• Cauchy transform and rectifiability in Clifford analysis
• Jump problem and removable singularities for monogenic functions
• On solvability of the jump problem
• The Gauss-Green theorem for fractal boundaries
• Minkowski dimension and Cauchy transform in Clifford analysis
• Cauchy transform on nonrectifiable surfaces in Clifford analysis
• Clifford Cauchy type integrals on Ahlfors-David regular surfaces in \(\mathbb R^{m+1}\)
• Well-posedness in Sobolev spaces of the full water wave problem in 3-D
• The Clifford–Cauchy transform with a continuous density: N. Davydov's theorem

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