Average decay estimates for Fourier transforms of measures supported on curves

Details Average decay estimates for Fourier transforms of measures supported on curves Average decay estimates for Fourier transforms of measures supported on curves

2006-07-03

arxiv.org/abs/math/0607059v2

Journal of Geometric Analysis, 17, no 1 (2007), 15--40. pdf.

Mathematics

Classical Analysis and ODEs

We have learned about an important reference on the subject matter, and revised the paper accordingly

Scientific paper

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.

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