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

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

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作者：Sami Ghazouani^a ; ^{Sami.Ghazouani@ipeib.rnu.tn" class="auth_mail" title="E-mail the corresponding author} ; Fethi Bouzeffour^b ; ^{fbouzaffour@ksu.edu.sa" class="auth_mail" title="E-mail the corresponding author}
关键词：Heisenberg uncertainty principle ; Dunkl transform ; Fractional Fourier transform ; Generalized Hermite polynomials and functions ; Generalized Sobolev spaces
刊名：Journal of Computational and Applied Mathematics
出版年：2016
出版时间：1 March 2016
年：2016
卷：294
期：Complete
页码：151-176
全文大小：518 K

文摘

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.