Heisenberg uncertainty principle for a fractional power of the Dunkl transform on the real line
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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.
论文关键词：Heisenberg uncertainty principle,Dunkl transform,Fractional Fourier transform,Generalized Hermite polynomials and functions,Generalized Sobolev spaces
论文评审过程：Received 21 November 2014, Revised 8 April 2015, Available online 18 August 2015, Version of Record 3 September 2015.
论文官网地址：https://doi.org/10.1016/j.cam.2015.06.013
