On some new impulsive integral inequalities.
Li, Jianli (2008)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “Paley-Wiener theorems for the Schrodinger operator on ”
On some new impulsive integral inequalities.
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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...
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