Localization operators associated with the windowed Opdam-Cherednik transform on modulation spaces
Functional Analysis
2023-08-22 v4 Classical Analysis and ODEs
Abstract
In this paper, we study a class of pseudodifferential operators known as time-frequency localization operators, which depend on a symbol and two windows functions and . 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.
Cite
@article{arxiv.2104.15112,
title = {Localization operators associated with the windowed Opdam-Cherednik transform on modulation spaces},
author = {Anirudha Poria},
journal= {arXiv preprint arXiv:2104.15112},
year = {2023}
}