Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592019 | Journal of Functional Analysis | 2008 | 21 Pages |
Abstract
We obtain new inequalities for the Fourier transform, both on Euclidean space, and on non-compact, rank one symmetric spaces. In both cases these are expressed as a gauge on the size of the transform in terms of a suitable integral modulus of continuity of the function. In all settings, the results present a natural corollary: a quantitative form of the Riemann–Lebesgue lemma. A prototype is given in one-dimensional Fourier analysis.
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Physical Sciences and Engineering
Mathematics
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