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arXiv · 2104.15112

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

Anirudha Poria
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Abstract

In this paper, we study a class of pseudodifferential operators known as time-frequency localization operators, which depend on a symbol $\varsigma$ and two windows functions $g_1$ and $g_2$. 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.

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BibTeXRIS

Anirudha Poria. 2021-04-30. Localization operators associated with the windowed Opdam-Cherednik transform on modulation spaces. https://doi.org/10.1080/17476933.2022.2052861

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