Wiener amalgams and summability of Fourier series.
Weisz, Ferenc (2005)
Annales Mathematicae et Informaticae
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Weisz, Ferenc (2005)
Annales Mathematicae et Informaticae
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Philippe Jaming (2011)
Annales de l’institut Fourier
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Inspired by work of Montgomery on Fourier series and Donoho-Strak in signal processing, we investigate two families of rearrangement inequalities for the Fourier transform. More precisely, we show that the behavior of a Fourier transform of a function over a small set is controlled by the behavior of the Fourier transform of its symmetric decreasing rearrangement. In the case, the same is true if we further assume that the function has a support of finite measure. As...
Torres de Squire, Maria (1987)
International Journal of Mathematics and Mathematical Sciences
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Blasco, Oscar (2005)
International Journal of Mathematics and Mathematical Sciences
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Hajer Bahouri, Jean-Yves Chemin, Isabelle Gallagher (2004-2005)
Séminaire Équations aux dérivées partielles
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Hatem Mejjaoli, Makren Salhi (2011)
Czechoslovak Mathematical Journal
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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.
Anthony Carbery, Fernando Soria (1988)
Extracta Mathematicae
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