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

Given a locally compact abelian group G and a quasi-inner product A-module (M, \phi) with \phi 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.

کلیدواژه ها:

locally compact abelian group ، Fourier transform ، quasi-inner product C*-module