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Regular version of the site

Article

Method of averaging in Clifford algebras

Advances in Applied Clifford Algebras. 2017. Vol. 27. No. 1. P. 149-163.

In this paper we consider different operators acting on Clifford algebras. We consider Reynolds operator of Salingaros’ vee group. This operator “average” an action of Salingaros’ vee group on Clifford algebra. We consider conjugate action on Clifford algebra. We present a relation between these operators and projection operators onto fixed subspaces of Clifford algebras. Using method of averaging we present solutions of system of commutator equations.