Abstract
The aim of this paper is to prove a new uncertainty principle for the Weinstein transform. This result is an extension of a result of Benedicks, Amrein and Berthier, which states that a nonzero function f and its Weinstein transform F α (f) cannot both have support of finite measure. We also extend Donoho–Strak’s local uncertainty principle to the Weinstein transform.
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Dedicated to François Rouvière for his 71st birthday
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Achak, A., Daher, R. Benedicks–Amrein–Berthier type theorem related to Weinstein transform. Anal Math 43, 511–521 (2017). https://doi.org/10.1007/s10476-017-0201-x
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DOI: https://doi.org/10.1007/s10476-017-0201-x