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On weighted Dirac operators and their fundamental solutions


Judith Vanegas
Franklin Vargas

Abstract

In this work we dene a Dirac type operator with constants weights which factorizes the Laplace operator in the classic sense. We characterize a family  of operators of this type whose weights are elements of a subspace of the Clifford algebra An. For this operator we construct a fundamental solution  and get a Cauchy-Pompeiu integral formula.


Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606