Complete function systems and decomposition results arising in Clifford analysis

DOI10.1007/BF03321017zbMath1040.30027MaRDI QIDQ1409785

D. Massart

Publication date: 22 October 2003

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

Bergman spaceselliptic boundary value problemsClifford analysisdecomposition spacescomplete function systemsDirac operators and hyperbolas

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) Integral representations of solutions to PDEs (35C15) Theoretical approximation in context of PDEs (35A35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value problems for linear first-order PDEs (35F15)

Cites Work

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• Quaternionic analysis and elliptic boundary value problems
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• Quaternionic analysis
• A Reflection Principle and an Orthogonal Decomposition in Clifford Algebras
• Clifford analytic complete function systems for unbounded domains
• Generalized Dirac operators on nonsmooth manifolds and Maxwell's equations