On weighted dirac operators and their fundamental solutions

Abstract:

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 (Figure presented.). For this operator we construct a fundamental solution and get a Cauchy-Pompeiu integral formula.

Año de publicación:

2020

Keywords:

• Dirac operators
• Clifford algebras
• Fundamental solutions

Fuente:

scopus