Physical Mathematics

L^P Donoho-Stark Uncertainty Principles for the Dunkl Transform on

Abstract

Fethi Soltani

In the Dunkl setting, we establish three continuous uncertainty principles of concentration type, where the sets of concentration are not intervals. The first and the second uncertainty principles are Lp versions and depend on the sets of concentration T and W, and on the time function f. The time-limiting operators and the Dunkl integral operators play an important role to prove the main results presented in this paper. However, the third uncertainty principle is also Lp version depends on the sets of concentration and he is independent on the band limited function f. These uncertainty principles generalize the results obtained for the Fourier transform and the Dunkl transform in the case p=2.