Title of article :
Convolution Product for Hilbert C^∗-Module Valued Maps
Author/Authors :
Todjro ، Mawoussi Department of Mathematics - University of Kara , Mensah ، Yaogan Department of Mathematics - University of Lomé
Abstract :
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
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis