First Order Differential Operators Associated to the Space of q-Monogenic Functions

Abstract:

In this paper we characterize all the first order differential operators, with paravector coefficients, associated with the q-monogenic operator. Then initial value problems involving these operators are always solvable provided that the initial function is a q-monogenic function. The underlying algebra is of Clifford type.

Año de publicación:

2017

Keywords:

• Clifford-type algebras
• q-monogenic functions
• Initial value problems
• Associated spaces

Fuente:

scopus

google