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Average decay estimates for Fourier transforms of measures supported on curves

Authors:	L Brandolini G Gigante A Greenleaf A Iosevich A Seeger G Travaglini

Institution:	(1) Dipartimento di Ingegneria Gestionale e dell’Informazione, Università di Bergamo, Viale Marconi 5, 24044 Dalmine BG, Italy;(2) Department of Mathematics, University of Rochester, 14627 Rochester, NY;(3) Department of Mathematics, University of Missouri-Columbia, 65211 Columbia, MO;(4) Department of Mathematics, University of Wisconsin-Madison, 53706 Madison, WI;(5) Dipartimento di Matematica e Applicazion, Università di Milano-Bicocca, Via R. Cozzi 53, 20125 Milano, Italy

Abstract:	We consider Fourier transforms $\widehat\mu$ of densities supported on curves in ℝ^d. We obtain sharp lower and close to sharp upper bounds for the decay rates of $\widehat\mu$ as R → ∞.

Keywords:	Math Subject Classifications" target="_blank">Math Subject Classifications 42B10 42B99
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