\(L^p\) quantitative uncertainty principles for the generalized Fourier transform associated with the spherical mean operator (Q2517073)
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| English | \(L^p\) quantitative uncertainty principles for the generalized Fourier transform associated with the spherical mean operator |
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\(L^p\) quantitative uncertainty principles for the generalized Fourier transform associated with the spherical mean operator (English)
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13 August 2015
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In [Anal. Theory Appl. 29, No. 4, 309--332 (2013; Zbl 1313.42029)], the authors proved some uncertainty principles for the generalized Fourier transform associated with the spherical mean operator. In the paper under review, they prove some new \(L^p\) quantitative uncertainty principles for the above transform. They extend Donoho-Stark's uncertainty principle and then they study versions of the Heisenberg uncertainty principle.
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generalized Fourier transform
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Donoho-Stark's uncertainty principle
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generalizations of Heisenberg inequality
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