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

Journal Article
Fethi, Ghazouani, Sami Bouzeffour . 2016
المجلة \ الصحيفة: 
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
رقم الإصدار السنوي: 
Volume: 294
الصفحات: 
Pages: 151-176
مستخلص المنشور: 

Abstract

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.