Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773546 | Applied and Computational Harmonic Analysis | 2017 | 23 Pages |
Abstract
Inspired by results of Kim and Ron, given a Gabor frame in L2(R), we determine a non-countable generalized frame for the non-separable space AP2(R) of the Besicovic almost periodic functions. Gabor type frames for suitable separable subspaces of AP2(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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Paolo Boggiatto, Carmen Fernández, Antonio Galbis,