Riemann–Hilbert Problems for Monogenic Functions on Upper Half Ball of $${\mathbb {R}}^4$$ R 4

DOI10.1007/s00006-017-0789-8zbMath1463.30187OpenAlexW2614139198WikidataQ58038844 ScholiaQ58038844MaRDI QIDQ5116155

Heinrich Begehr, Unnamed Author

Publication date: 24 August 2020

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/emj171

zbMATH Keywords

Cauchy-Riemann equationSchwarz problemCauchy-Pompeiu formulaSchwarz-Poisson formulacontractive mapping principlegeneralized Beltrami equation

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Integral equations with kernels of Cauchy type (45E05) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (max. 100)

COMPLEX BOUNDARY VALUE PROBLEMS FOR THE CAUCHY–RIEMANN OPERATOR ON A TRIANGLE ⋮ Integral representations in the complex plane and iterated boundary value problems ⋮ Schwarz problem in a ring domain* ⋮ Riemann-Hilbert-type boundary value problems on a half hexagon ⋮ Riemann-Hilbert problems for monogenic functions on upper half ball of \({\mathbb {R}}^4\) ⋮ Riemann-Hilbert problems for axially symmetric null-solutions to iterated generalised Cauchy-Riemann equations in \(\mathbb{R}^{n+1}\) ⋮ Polyanalytic boundary value problems for planar domains with harmonic Green function ⋮ Dirichlet problems in lens and lune ⋮ Neumann boundary value problems in fan-shaped domains

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