Abstract
The theory of functions with values in Clifford algebras shows a lot of analogies to the complex function theory in the complex one-dimensional case. The class of holomorphic functions is now the set of null solutions of a generalized Cauchy–Riemann system, the class of monogenic functions. Analogously to the complex case one can define a derivative of monogenic functions by applying the adjoint Cauchy–Riemann operator. The main goal of this article is to study whether the derivative can be “inverted” and how monogenic primitives of monogenic functions can be constructed.
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