Time–frequency Analysis Associated with Some Partial Differential Operators

Hatem Mejjaoli, Slim Omri

Research output: Contribution to journalJournal articlepeer-review

1 Scopus citations

Abstract

In this paper, we prove the boundedness and compactness of localization operators associated with Riemann–Liouville wavelet transforms, which depend on a symbol and two Riemann–Liouville wavelets on Lp(dνα), 1 ≤ p≤ ∞. Next, we establish Shapiro’s mean dispersion-type theorems and we study the scalogram for the same wavelet transform.

Original languageEnglish
Article number161
JournalMediterranean Journal of Mathematics
Volume15
Issue number4
DOIs
StatePublished - 1 Aug 2018

Keywords

  • Riemann–Liouville operator
  • Riemann–Liouville two-wavelet localization operators
  • Riemann–Liouville wavelet Scalograms
  • Schapiro’s theorem
  • Schatten–von Neumann class

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