2023/07/19 by S. Arati, Arati, S., P. Devaraj +1
Mathematics · #43A32 #43A70 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Primary 42C15 #Secondary 42C40
paper · pdf · doi:10.48550/arxiv.2307.09895
openalex publication_date 2023/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we analyse the circumstances in which the adjoint Gabor system is an R-dual of a given Gabor frame in the context of separable uniform time-frequency lattices in locally compact abelian groups. In this regard, we also prove a necessary condition for a Gabor Bessel sequence in this setting to be complete.