6533b7dcfe1ef96bd127342b

RESEARCH PRODUCT

Gabor systems and almost periodic functions

Carmen FernándezAntonio GalbisPaolo Boggiatto

subject

Almost periodic functionApplied Mathematics010102 general mathematicsAlmost-periodic functions010103 numerical & computational mathematicsGabor frame01 natural sciencesLinear subspaceFunctional Analysis (math.FA)Separable spaceCombinatoricsMathematics - Functional AnalysisFramesNorm (mathematics)42C40 42C15 42A75FOS: MathematicsAP-framesCountable set0101 mathematicsGabor systemsMathematicsAlmost-periodic functions; AP-frames; Frames; Gabor systems; Applied Mathematics

description

Abstract Inspired by results of Kim and Ron, given a Gabor frame in L 2 ( R ) , we determine a non-countable generalized frame for the non-separable space AP 2 ( R ) of the Besicovic almost periodic functions. Gabor type frames for suitable separable subspaces of AP 2 ( R ) are constructed. We show furthermore that Bessel-type estimates hold for the AP norm with respect to a countable Gabor system using suitable almost periodic norms of sequences.

yearjournalcountryeditionlanguage
2017-01-01
http://arxiv.org/abs/1412.3587