A Cauchy-Pompeiu representation formula using Dirac operator and its applications in some piecewise constant structure relations

DOI10.1007/s00006-012-0372-2zbMath1269.30057OpenAlexW2133907977MaRDI QIDQ351478

Antonio Di Teodoro, Adrián Infante

Publication date: 5 July 2013

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

Full work available at URL: https://doi.org/10.1007/s00006-012-0372-2

zbMATH Keywords

Clifford algebraintegral representations

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (2)

Some integral representation for meta-monogenic function in Clifford algebras depending on parameters ⋮ A Dirichlet problem for the first order inhomogeneous meta-monogenic equation in parameter depending Clifford algebras

Cites Work

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• General algebraic structures of Clifford type and Cauchy-Pompeiu formulae for some piecewise constant structure relations
• Fundamental solutions for the first order meta-monogenic operator
• A function theory for the operator D-λ

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