Abstract
We consider the continuous wavelet transform
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associated with the Weinstein operator. We introduce the notion of localization operators for
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. In particular, we prove the boundedness and compactness of localization operators associated with the continuous wavelet transform. Next, we analyze the concentration of
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on sets of finite measure. In particular, Benedicks-type and Donoho-Stark’s uncertainty principles are given. Finally, we prove many versions of Heisenberg-type uncertainty principles for
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.