Abstract
The Weinstein transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization and a variant of Cowling-Price theorem, Miyachi’s theorem, Beurling’s theorem, and Donoho-Stark’s uncertainty principle are obtained for the Weinstein transform.
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Dedicated to Khalifa Trimèche for his 65 birthday
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Mejjaoli, H., Salhi, M. Uncertainty principles for the weinstein transform. Czech Math J 61, 941–974 (2011). https://doi.org/10.1007/s10587-011-0061-7
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DOI: https://doi.org/10.1007/s10587-011-0061-7
Keywords
- Weinstein transform
- Hardy’s type theorem
- Cowling-Price’s theorem
- Beurling’s theorem
- Miyachi’s theorem
- Donoho-Stark’s uncertainty principle