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Restriction of Fourier transforms to curves. II. Some classes with vanishing torsion. (English) Zbl 1154.42004
In this paper, in addition to their previous work ”Restriction of Fourier transforms to curves and related oscillatory integrals” [Preprint, arXiv:math/0612752, to appear in Am. J. Math.], the authors are concerned with degenerate curves for which the highest torsion vanishes. the proofs go along the same lines as those in the mentioned paper, but need additional technicalities while the results appear in a specific form.
MSC:
42B10Fourier type transforms, several variables
42B99Fourier analysis in several variables