Microfunctions with values in a Clifford algebra 1
Möbius transformations and monogenic functional calculus.
Monogenic functions on surfaces.
More on modified quaternionic analysis in R3.
Morera type problems in Clifford analysis.
The Pompeiu and the Morera problems have been studied in many contexts and generality. For example in different spaces, with different groups, locally, without an invariant measure, etc. The variations obtained exhibit the fascination of these problems.In this paper we present a new aspect: we study the case in which the functions have values over a Clifford Algebra. We show that in this context it is completely natural to consider the Morera problem and its variations. Specifically, we show the...