Behavior of Gabor frame operators on Wiener amalgam spaces

Anirudha Poria*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


It is well-known that the Gabor expansions converge to identity operator in weak∗sense on the Wiener amalgam spaces as sampling density tends to infinity. In this paper, we prove the convergence of Gabor expansions to identity operator in the operator norm as well as weak∗sense on W(Lp,ℓq) as the sampling density tends to infinity. Also we show the validity of the Janssen's representation and the Wexler-Raz biorthogonality condition for Gabor frame operator on W(Lp,ℓq).

Original languageEnglish
Article number1650028
JournalInternational Journal of Wavelets, Multiresolution and Information Processing
Issue number4
Publication statusPublished - 1 Jul 2016


  • frame operator
  • Gabor frame
  • Janssen's representation
  • sampling density
  • Walnut's representation
  • Wexler-Raz biorthogonality relations
  • Wiener amalgam spaces
  • windowed Fourier transform


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