In this work, we obtain new inequalities for the Laguerre-Bessel transform in the space \(L^{2}_{\alpha}(\mathbb{X}),\) by using generalized continuity modulus , where \(\mathbb{X}=[0,+\infty[\times[0,+\infty[\) and \(\alpha\geq0\).
The linear canonical Fourier transform, (LCFT), satisfies some uncertainty principales similar to classical Fourier transform. The aim of this paper is to prove a generalization of these principles for the LCFT.
