Gabor systems and almost periodic functions

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• 作者：Paolo Boggiatto^a ; ^{paolo.boggiatto@unito.it} ; Carmen Ferná ; ndez^b ; ^{Carmen.Fdez-Rosell@uv.es} ; Antonio Galbis^b ; ^{Antonio.Galbis@uv.es}
• 关键词：primary ; 42C40 ; secondary ; 42C15 ; 42A75
• 刊名：Applied and Computational Harmonic Analysis
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：42
• 期：1
• 页码：65-87
• 全文大小：414 K
• 卷排序：42

文摘

Inspired by results of Kim and Ron, given a Gabor frame in L2(R)L2(R), we determine a non-countable generalized frame for the non-separable space AP2(R)AP2(R) of the Besicovic almost periodic functions. Gabor type frames for suitable separable subspaces of AP2(R)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.