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arXiv · 1004.2601

On restriction of the Fourier transform to hypersufaces

D. D. Turakulov
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Abstract

It is considered Fourier transform of convex analytic hypersufaces on $R^{4} $. We prove that the Fourier restriction operator associated to convex analytic hypersufaces is \textit{$(L_{p}, L_{2})$} bounded whenever $1\le p\le \frac{2h+2}{h+2}$. The result is sharp.

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D. D. Turakulov. 2010-04-15. On restriction of the Fourier transform to hypersufaces. https://arxiv.org/abs/1004.2601

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