Mawoussi Todjro - Department of Mathematics, University of Kara, BP ۴۰۴ Kara, Togo.
Yaogan Mensah - Department of Mathematics, University of Lom\'e, ۰۱ BP ۱۵۱۵ Lome,Togo and International Chair in Mathematical Physics and Aplications (ICMPA), University of Abomey-Calavi, Benin.

In this paper, we introduce a convolution-type product for  strongly integrable Hilbert C^*-module valued maps on locally compact groups. We investigate various properties of this product related to uniform continuity, boundless, etc. For instance, we prove a convolution theorem. Also, we study the boundless of the  related convolution operator in various settings.

Locally compact group, Convolution, Hilbert C^*-module, Fourier transform