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arXiv:math/0703068 [math.CA]AbstractReferencesReviewsResources

Restriction of Fourier transforms to curves, II: Some classes with vanishing torsion

Jong-Guk Bak, Daniel M. Oberlin, Andreas Seeger

Published 2007-03-02, updated 2008-06-26Version 2

We consider the Fourier restriction operators associated to certain degenerate curves in R^d for which the highest torsion vanishes. We prove estimates with respect to affine arclength and with respect to the Euclidean arclength measure on the curve. The estimates have certain uniform features, and the affine arclength results cover families of flat curves.

Comments: 26 pages, Final version to appear in the Journal of the Australian Mathematical Society
Journal: Journal of the Australian Mathematical Society, 85 (2008), 1-28.
Categories: math.CA
Subjects: 42B10, 42B99
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