Presents the q-Weinstein transform and localization operators, demonstrating their properties and classifications.
In this paper, we introduce the q-Weinstein transform and investigate the associated translation operator and convolution product, highlighting some of their fundamental properties. We then develop the q-Weinstein wavelet transform and examine the corresponding localization operators. In particular, we establish their trace class properties and prove that they belong to the Schatten–von Neumann class.
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Tyr et al. (2026) studied this question.
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