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On Riesz duals for Gabor systems on LCA groups

  • S. Arati,
  • P. Devaraj

摘要

In the context of separable uniform time-frequency lattices in locally compact abelian groups, we analyse the circumstances in which, for a given Gabor frame, the adjoint Gabor system is an R-dual of the Gabor frame. In this regard, we also prove a necessary condition for a given Gabor Bessel sequence to be complete.