AN ANALOGUE OF COWLING-PRICE'S THEOREM FOR THE Q-FOURIER-DUNKL TRANSFORM

摘要

The Q-Fourier-Dunkl transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. By using the heat kernel associated to the Q-Fourier-Dunkl operator, we have established an analogue of Cowling-Price, Miyachi and Morgan theorems on R by using the heat kernel associated to the Q-Fourier-Dunkl transform.