Uncertainty principles for the weinstein transform

Paley–Wiener theorem for the Weinstein transform and applications

“…Then the Weinstein spherical harmonic coefficients of ϕ ∈ S(R d+1 + ) are given by Proof. In [5] (see proof of Proposition 5), the authors proved that…”

An Analogue of Cowling-Price’s Theorem for the Q-Fourier-Dunkl Transform

“…In this paper, we will study an analogue of Cowling-Price's theorem and Miyachi's theorem for the Q-Fourier-Dunkl transform. Many authors have established the analogous of Cowling-Price's theorem in other various setting of harmonic analysis (see for instance [5]) The outline of the content of this paper is as follows. Section 2 is dedicated to some properties and results concerning the Q-Fourier-Dunkl transform.…”

Heat Equations Associated with Weinstein Operator and Applications

“…We note that, for this transform, we have studied the uncertainty principle (cf. [4]) and the Gabor transform (cf. [5]).…”