The RH boundary value problem of the \(k\)-monogenic functions

DOI10.1016/j.jmaa.2008.06.050zbMath1203.30052OpenAlexW1967726802MaRDI QIDQ944360

Jinyuan Du, Yude Bu

Publication date: 16 September 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.06.050

zbMATH Keywords

Hilbert boundary value problemRiemann boundary value problemEuler operator\(k\)-monogenic function

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (24)

Boundary value problems for modified Helmholtz equations and applications ⋮ Expansions for the Dirac operator and related operators in super spinor space ⋮ A fourth-order elliptic Riemann type problem in \(\mathbb{R}^{3}\) ⋮ Generalized Almansi expansions in superspace ⋮ Riemann-Hilbert problems for monogenic functions in axially symmetric domains ⋮ On the Riemann boundary value problem for null solutions to iterated generalized Cauchy-Riemann operator in Clifford analysis ⋮ Riemann boundary value problems for iterated Dirac operator on the ball in Clifford analysis ⋮ Riemann boundary value problems on the sphere in Clifford analysis ⋮ Riemann-Hilbert problems for monogenic functions on upper half ball of \({\mathbb {R}}^4\) ⋮ Generalized Cauchy theorem in Clifford analysis and boundary value problems for regular functions ⋮ Nonlinear Riemann-Hilbert problems for axial- and bi-axial-monogenic functions ⋮ Riemann-Hilbert problems for axially symmetric null-solutions to iterated generalised Cauchy-Riemann equations in \(\mathbb{R}^{n+1}\) ⋮ Riemann boundary value problems for triharmonic functions in Clifford analysis ⋮ Riemann-Hilbert problems for axially symmetric monogenic functions in \(\mathbb{R}^{n+1}\) ⋮ Boundary value problems with higher order Lipschitz boundary data for polymonogenic functions in fractal domains ⋮ A bimonogenic Cauchy transform on higher order Lipschitz classes ⋮ Riemann boundary value problems on half space in Clifford analysis ⋮ Normalized system for the super Laplace operator ⋮ Riemann boundary value problem for harmonic functions in Clifford analysis ⋮ Riemann-Hilbert problems for null-solutions to iterated generalized Cauchy-Riemann equations in axially symmetric domains ⋮ Representations of super-holomorphic functions and their applications ⋮ On the Plemelj-Privalov theorem in Clifford analysis involving higher order Lipschitz classes ⋮ Decomposition ofk-monogenic functions in superspace ⋮ Riemann–Hilbert problems for null-solutions to iterated generalized Cauchy–Riemann equation on upper half ball

Cites Work

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• A general method for solving plane crack problems
• Quaternionic analysis and elliptic boundary value problems
• On Cauchy estimates and growth orders of entire solutions of iterated Dirac and generalized Cauchy–Riemann equations
• On boundary value problems of riemann-hilbert type for monogenic functions in a half space of
• On Boundary Value Problems of Polyanalytic Functions on the Real Axis
• A kind of Riemann and Hilbert boundary value problem for left monogenic functions in R^m (m ≥ 2)
• Almansi‐type theorems in Clifford analysis

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