creative_2023_32_2_153_164In this paper, we study the Radon-Nikodým Property for the Fourier space of a commutative compact hypergroup and that of a compact (non necessarily commutative) hypergroup. We prove the coincidence of the weak-* topology and the norm topology on the unit sphere of the subset 
of the Fourier space 
of a commutative hypergroup 
consisting of elements that have support in a fixed compact subset 
of the hypergroup . Finally, we derive the fact that has the Radon-Nikodým property.
| Author(s) | Lakmon, Anaté K., Etse, Kossi R., Mensah, Yaogan |
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