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A uniform Fourier restriction theorem for surfaces in $\mathbb{R}^{3}$

Author(s): Daniel M. Oberlin
Journal: Proc. Amer. Math. Soc. 132 (2004), 1195-1199.
MSC (2000): Primary 42B10
Posted: October 15, 2003
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Abstract: We establish a uniform Fourier restriction estimate for certain hypersurfaces in $\mathbb{R} ^{3}$ .

References:

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2.: A. Carbery and S. Ziesler, Restriction and decay for flat hypersurfaces, Publ. Mat. 46 (2002), 405-434. MR 2003i:42019
3.: H. Federer, Geometric Measure Theory, Die Grundlehren der mathematischen Wissenschaften, Band 153, Springer-Verlag, New York, 1969. MR 41:1976
4.: A. Greenleaf, Principal curvature and harmonic analysis, Indiana Univ. Math. J. 30 (1981), 519-537. MR 84i:42030
5.: E. M. Stein, Harmonic Analysis: real-variable methods, orthogonality, and oscillatory integrals, Princeton University Press, Princeton, NJ, 1993. MR 95c:42002


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