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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:440

Article

Hleili, Manel¹  Nefzi, Bochra¹  Bsaissa, Anis¹ 

[1] Univ Tunis El Manar, Fac Sci Tunis, Tunis 1060, Tunisia

关键词: Heisenberg uncertainty inequality;    Generalized q-Bessel function;    Generalized q-Bessel Fourier transform;   

DOI  :  10.1016/j.jmaa.2016.03.053

来源: Elsevier

【 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.

【 授权许可】

Free