Uncertainty principles for the Dunkl transform

By T. Kawazoe, Hatem Mejjaoli. 2010

70 citations recorded by the source corpus.

The Dunkl transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization and a variant of Cowling-Price’s theorem, Beurling’s theorem and Donoho-Stark’s uncertainty principle are obtained for the Dunkl transform.

Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Signal Processing

View Paper: https://www.semanticscholar.org/paper/a12dc3cb18f0a5a36d1ca48b5386a8c82ce193a2

How researchers see this paper

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In Applied Mathematics

1. Saifallah Ghobber
2. Philippe Jaming
3. Eugenia Malinnikova

In Atomic and Molecular Physics, and Optics

1. Saifallah Ghobber
2. Philippe Jaming

In Signal Processing

1. Saifallah Ghobber
2. Philippe Jaming
3. Eugenia Malinnikova

Citations in the corpus

• Uncertainty principles for integral operators (2012, methodology): “Note that the Donoho-Stark’s uncertainty principle has recently been proved in [34] for the Dunkl transform but our inequality (4.”