Boundary value problems for quaternionic monogenic functions on non-smooth surfaces

DOI10.1007/BF03041934zbMath0948.30047MaRDI QIDQ1975586

Ricardo Abreu-Blaya, Juan Bory-Reyes

Publication date: 19 July 2000

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

zbMATH Keywords

quaternionic analysisCauchy type integral

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Boundary value problems in the complex plane (30E25) Clifford algebras, spinors (15A66) Integral equations with kernels of Cauchy type (45E05)

Related Items (15)

Compound Riemann Hilbert boundary value problems in complex and quaternionic analysis ⋮ Electromagnetic Riemann-Hilbert boundary value problem in fractal domains of \(\mathbb{R}^2\) ⋮ Generalized Laplacian decomposition of vector fields on fractal surfaces ⋮ Jump problem and removable singularities for monogenic functions ⋮ Generalized Cauchy theorem in Clifford analysis and boundary value problems for regular functions ⋮ New versions of the Plemelj-Sochocki formula in Clifford analysis ⋮ On the Riemann Hilbert type problems in Clifford analysis ⋮ Cauchy theorem for a surface integral in commutative algebras ⋮ Riemann boundary value problem for H-2-monogenic function in Hermitian Clifford analysis ⋮ The Riemann boundary value problem on non-rectifiable curves and related questions ⋮ Riemann-type problem in Hermitian Clifford analysis ⋮ Reconstruction of solutions to a generalized Moisil-Teodorescu system in Jordan domains with rectifiable boundary ⋮ Some Riemann boundary value problems in Clifford analysis ⋮ Some Riemann boundary value problems in Clifford analysis (I) ⋮ Weighted Cauchy transforms in Clifford analysis

Cites Work

• On linear and nonlinear Riemann-Hilbert problems for regular functions with values in a Clifford algebra
• Boundary-value problems and singular equations on a rectifiable contour
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• Clifford analysis over unbounded domains
• Opérateurs intégraux singuliers sur certaines courbes du plan complexe
• The Cauchy Integral, Calderon Commutators, and Conjugations of Singular Integrals in R n
• Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture
• Quaternionic ψ-hyperholomorphic functions, singular integral operators and boundary value problems I. ψ-hyperholomorphic function theory
• Quaternionic ψ-hyperholomorphic functions, singular integral operators and boundary value problems II. algebras of singular lntegral operators and riemann type boundary value problems
• On the removal of singularities of analytic functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Boundary value problems for quaternionic monogenic functions on non-smooth surfaces