Heisenberg uncertainty principle for a fractional power of the Dunkl transform on the real line

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:294

Article

Ghazouani, Sami¹  Bouzeffour, Fethi² 

[1] Univ Carthage, Inst Preparatoire Etud Ingn Bizerte, Jarzouna 7021, Tunisia

[2] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

关键词: Heisenberg uncertainty principle;    Dunkl transform;    Fractional Fourier transform;    Generalized Hermite polynomials and functions;    Generalized Sobolev spaces;   

DOI  :  10.1016/j.cam.2015.06.013

来源: Elsevier

【 摘 要 】

The aim of this paper is to prove Heisenberg-Pauli-Weyl inequality for a fractional power of the Dunkl transform on the real line for which there is an index law and a Plancherel theorem. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free