Fundamental solutions for the first order meta-monogenic operator

DOI10.1007/S00006-011-0293-5zbMath1253.30062OpenAlexW2017513615MaRDI QIDQ430732

Carmen Judith Vanegas, Antonio Di Teodoro

Publication date: 26 June 2012

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

Full work available at URL: https://doi.org/10.1007/s00006-011-0293-5

zbMATH Keywords

fundamental solutionsCauchy-Pompeiu formulaClifford-type algebrasmetamonogenic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Clifford algebras, spinors (15A66)

Related Items (10)

Sufficient conditions for first-order differential operators to be associated with a \(q\)-metamonogenic operator in a Clifford type algebra ⋮ Algebraic structures in generalized Clifford analysis and applications to boundary value problems ⋮ A Cauchy-Pompeiu representation formula using Dirac operator and its applications in some piecewise constant structure relations ⋮ The Taylor expansion of weighted monogenic functions ⋮ Some integral representation for meta-monogenic function in Clifford algebras depending on parameters ⋮ Hartog's type extension theorem in some piecewise constant structure relations for metamonogenic functions of first order ⋮ Interior estimates in the sup-norm for a class of generalized functions with integral representations ⋮ An integral representation formula for multi meta-\(\phi \)-monogenic functions of second class ⋮ A Dirichlet problem for the first order inhomogeneous meta-monogenic equation in parameter depending Clifford algebras ⋮ Solution of the initial value problem for a linear evolution equation in a Clifford type algebra

Cites Work

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