Localization operators associated with the windowed Opdam–Cherednik transform on modulation spaces

Anirudha Poria*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, we study a class of pseudodifferential operators known as time-frequency localization operators, which depend on a symbol ς and two windows functions (Formula presented.) and (Formula presented.). We first present some basic properties of the windowed Opdam–Cherednik transform. Then, we use modulation spaces associated with the Opdam–Cherednik transform as appropriate classes for symbols and windows and study the boundedness and compactness of the localization operators associated with the windowed Opdam–Cherednik transform on modulation spaces. Finally, we show that these operators are in the Schatten–von Neumann class.

Original languageEnglish
Pages (from-to)1361-1384
Number of pages24
JournalComplex Variables and Elliptic Equations
Volume68
Issue number8
DOIs
Publication statusAccepted/In press - 2022

Keywords

  • 42B35
  • 47B10
  • compact operators
  • localization operators
  • modulation spaces
  • Opdam–Cherednik transform
  • Primary 47G30
  • Schatten–von Neumann class
  • Secondary 44A15
  • windowed Opdam–Cherednik transform

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