On the <i>q</i> -Weinstein wavelet transform and its associated localization operators

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.