Revista de la
Unión Matemática Argentina
Localization operators and scalogram associated with the generalized continuous wavelet transform on $\mathbb{R}^d$ for the Heckman–Opdam theory
Hatem Mejjaoli and Khalifa Trimèche
Volume 61, no. 1 (2020), pp. 169–196    

https://doi.org/10.33044/revuma.v61n1a11

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Abstract

We consider the generalized wavelet transform $\Phi_{h}^{W}$ on $\mathbb{R}^{d}$ for the Heckman–Opdam theory. We study the localization operators associated with $\Phi_{h}^{W}$; in particular, we prove that they are in the Schatten–von Neumann class. Next we introduce some results on the scalogram for this transform.