Invertibility of the Gabor frame operator on some function spaces

Research output: Contribution to journalArticle

Abstract

We prove that if the window function g is in the Wiener amalgam space or in the Lipschitz amalgam space then its canonical dual window (Formula presented) is in the same space, where Sg is the Gabor frame operator.

Original languageEnglish
Pages (from-to)167-181
Number of pages15
JournalActa Mathematica Hungarica
Volume144
Issue number1
DOIs
Publication statusPublished - Oct 9 2014

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Keywords

  • canonical dual
  • Gabor frame
  • Hölder continuous function
  • time-frequency analysis
  • Wiener algebra

ASJC Scopus subject areas

  • Mathematics(all)

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