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

• Sami Ghazouani ^[1] ; Fethi Bouzeffour ^[2]
  1. [1] University of Carthage

     University of Carthage

     Túnez

     
  2. [2] King Saud University

     King Saud University

     Arabia Saudí

     
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 294, Nº 1 (1 March 2016), 2016, págs. 151-176
• Idioma: inglés
• DOI: 10.1016/j.cam.2015.06.013
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• Resumen

  • 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.