Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in L2

• D.V. Gorbachev ^[1] ; V.I. Ivanov ^[1] ; S.Yu. Tikhonov ^[2]
  1. [1] Tula State University

     Tula State University

     Rusia

     
  2. [2] Centre de Recerca Matematica

     Centre de Recerca Matematica

     Sardañola del Vallés, España

     
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 202, Nº 1 (February 2016), 2016, págs. 109-118
• Idioma: inglés
• DOI: 10.1016/j.jat.2015.10.002
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• Resumen

  • We prove sharp Pitt’s inequality for the Dunkl transform in L2(Rd) with the corresponding weights. As an application, we obtain the logarithmic uncertainty principle for the Dunkl transform.