Associated Spaces in Clifford Analysis

Abstract:

In this paper we give a characterization of all linear first order partial differential operators with Clifford-algebra-valued coefficients that are associated to the generalized Cauchy-Riemann operator. In order to achieve our goal, we make use of a rule for D(u·v), where u and v are Clifford-algebra-valued functions. As an application, the solvability of initial value problems involving these operators is shown.

Año de publicación:

2015

Keywords:

• Monogenic functions
• Associated spaces
• Initial value problems
• Clifford algebras

Fuente:

scopus