A variation on uncertainty principles for the generalized q-Bessel Fourier transform

摘要

The aim of this paper is to prove new uncertainty principles for the generalized q-Fourier Bessel transform studied earlier in [9]. To do so we prove a Nash-type inequality and a Carlson-type inequality for this transformation. From this we deduce a variation on Heisenberg's uncertainty inequality and Faris's local uncertainty principle. We also prove a variation on Donoho Stark's uncertainty principle. Our results can be applied to the q-Bessel Fourier transform [7]. (C) 2016 Elsevier Inc. All rights reserved.