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arXiv:2104.15112 [math.FA]AbstractReferencesReviewsResources

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

Anirudha Poria

Published 2021-04-30Version 1

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.

Comments: 20 pages. arXiv admin note: text overlap with arXiv:2005.14274
Categories: math.FA, math.CA
Subjects: 47G30, 44A15, 42B35, 47B10
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