Journal
QUAESTIONES MATHEMATICAE
Volume 43, Issue 3, Pages 383-393Publisher
NATL INQUIRY SERVICES CENTRE PTY LTD
DOI: 10.2989/16073606.2019.1575295
Keywords
Primary; Secondary; Dirac operators; fundamental solutions; Clifford algebras
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In this work we define 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 . For this operator we construct a fundamental solution and get a Cauchy-Pompeiu integral formula.
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