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Average decay estimates for Fourier transforms of measures supported on curves

Luca Brandolini, Giacomo Gigante, Allan Greenleaf, Alexander Iosevich, Andreas Seeger, Giancarlo Travaglini

Published 2006-07-03, updated 2006-07-13Version 2

We consider Fourier transforms of densities supported on curves in R^d. We obtain sharp lower and close to sharp upper bounds for the L^q decay rates.

Comments: We have learned about an important reference on the subject matter, and revised the paper accordingly
Journal: Journal of Geometric Analysis, 17, no 1 (2007), 15--40. pdf.
Categories: math.CA
Subjects: 42B10, 42B99
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