Abstract
In this paper, we introduce the localization operator associated with the linear canonical continuous Dunkl wavelet transform. We analyze the boundedness of the operator Lψ,φ(σ) for various classes of symbols and wavelet functions. We also establish the compactness of the localization operator on Lkp(R) spaces, where 1≤p≤∞. 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.