On quaternionic measures (Q2204559)

The paper proposes a generalization of the notion of complex measure in the quaternionic setting. For such a generalization, the authors prove several founding results, such as: -- the finiteness of the modulus of variation (extending a Lemma originally stated by Rudin); -- a Lebesgue-type decomposition; -- a Radon-Nikodym type theorem; -- the fact that the set of quaternionic measures on a given domain is a Banch space. These results are proven in many details and are treated very well.