Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4668685 | Bulletin des Sciences Mathématiques | 2016 | 31 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Troels Roussau Johansen,