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

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arxiv math/0703068 v2 pith:WLX3ESHQ submitted 2007-03-02 math.CA

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

classification math.CA
keywords arclengthcurvesaffinecertainestimatesfourierrespectrestriction
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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.

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