On the Fourier analysis of quasi-inner product C*-module-valued functions on LCA groups

Document Type : Research Articles

Authors

1 Department of mathematics, Faculty of Sciences et Technologies, University of Kara, Togo

2 Department of mathematics, Faculty of Science and Technology, University of Kara, Kara, Togo

3 Department of Mathematics, Faculty of Science, University of Lomé, Lomé, Togo

10.22080/cjms.2024.27648.1715

Abstract

Given a locally compact abelian group G and a quasi-inner product A-module (M, ϕ) with ϕ a positive sesquilinear map on M, we introduce the Fourier transform for the Bochner integrable M-valued functions on G and investigate some of its properties including a Parseval type equality.

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