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

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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… Click to show full 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.

Keywords: differential operators; operators associated; first order; order differential

Journal Title: Advances in Applied Clifford Algebras
Year Published: 2017

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