Uncertainty principles for the Heckman-Opdam transform

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• 作者：Troels Roussau Johansen ^{troels.johansen@gmx.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 33C67 ; secondary ; 43A32 ; 43A62
• 刊名：Bulletin des Sciences Mathematiques
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：140
• 期：6
• 页码：687-717
• 全文大小：555 K

文摘

We establish several uncertainty principles for the Heckman–Opdam ‘hypergeometric’ Fourier transform associated with a root system of arbitrary rank, including analogues of the Donoho–Stark and Benedicks–Amrein–Berthier principles, and the Hirschman entropic uncertainty inequality. For rank one root systems, these results hold more generally for the Cherednik–Opdam transform.