In this paper, we introduce the localization operator associated with the linear canonical continuous Dunkl wavelet transform. We analyze the boundedness of the operator \({\mathcal {L}}_{\psi ,\varphi }(\sigma )\) for various classes of symbols and wavelet functions. We also establish the compactness of the localization operator on \(L^p_k({\mathbb {R}})\) spaces, where \(1\le p\le \infty \) . Additionally, we explore the properties of the localization operator in Schatten-von Neumann classes and demonstrate that, with appropriate choices of symbols and wavelet functions, the localization operator can be identified as both a trace class operator and a Hilbert–Schmidt operator.
