46 citations · 182 across the 16 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math-ph2014★ 8 cited
Method of averaging in Clifford algebras
D. S. Shirokov
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' v…
math-ph2014★ 11 cited
Symplectic, orthogonal and linear Lie groups in Clifford algebra
D. S. Shirokov
In this paper we prove isomorphisms between 5 Lie groups (of arbitrary dimension and fixed signatures) in Clifford algebra and classical matrix Lie groups - symplectic, orthogonal…
math-ph2014★ 15 cited
General solutions of one class of field equations
N. G. Marchuk, D. S. Shirokov
We find general solutions of some field equations (systems of equations) in pseudo-Euclidian spaces (so-called primitive field equations). These equations are used in the study of…