An affine restriction estimate in ℝ³

Shayya, Bassam

doi:10.1090/S0002-9939-06-08604-7

An affine restriction estimate in $\mathbb {R}^3$
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by Bassam Shayya

Proc. Amer. Math. Soc. 135 (2007), 1107-1113

DOI: https://doi.org/10.1090/S0002-9939-06-08604-7

Published electronically: September 26, 2006

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Abstract:

We prove that the Fourier transform of an $L^{4/3}$ function can be restricted to any compact convex $C^2$ surface of revolution in $\mathbb {R}^3$.

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