2017/08/16 by Atteia, Marc
#46E #47 #65 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1709.03833
This paper is divided in three parts. In the first part, I study the Clifford algebra associated to the hessian of a functional f defined on an open subset of ℝn and the Clifford algebra associated to the hessian of the Legendre transform of f. I give also the definition of a tensorial topology on a Clifford algebra. In the second part, I study the Clifford algebra C( E,q) of an infinite dimensional Banach space E and its main properties. Finally, in the third part, I give the explicit formula of the hilbertian kernel of a Clifford algebra with examples.