Restriction of Fourier transforms to curves, II: Some classes with vanishing torsion
Classical Analysis and ODEs
2010-03-15 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0703068,
title = {Restriction of Fourier transforms to curves, II: Some classes with vanishing torsion},
author = {Jong-Guk Bak and Daniel M. Oberlin and Andreas Seeger},
journal= {arXiv preprint arXiv:math/0703068},
year = {2010}
}
Comments
26 pages, Final version to appear in the Journal of the Australian Mathematical Society