Convolution Product for Hilbert C^*-Module Valued Maps

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.

Keywords:

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