Uncertainty principles for the linear canonical Dunkl wavelet transform

In this paper, we explore various uncertainty principles in the framework of the linear canonical Dunkl transform (LCDT) and the linear canonical Dunkl wavelet transform (LCDWT). We establish fundamental uncertainty principles, including the Heisenberg and entropy uncertainty principles, for both transforms. Additionally, by employing Pitt’s inequality, we derive the logarithmic uncertainty principle, further highlighting the fundamental limits of simultaneous localization in the spatial and frequency domains. Furthermore, we develop the Donoho–Stark and local uncertainty principles specifically for the LCDWT, enriching the theoretical understanding of uncertainty in this setting.