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arXiv · 1812.10641

A note on the Stein restriction conjecture and the restriction problem on the torus

Duván Cardona
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Abstract

In this note we discuss the Stein restriction problem on arbitrary $n$-torus, $n\geq 2$. In contrast with the usual cases of the sphere, the parabola and the cone, we provide necessary and sufficient conditions on the Lebesgue indices, by finding conditions which are independent of the dimension $n$.

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Duván Cardona. 2018-12-27. A note on the Stein restriction conjecture and the restriction problem on the torus. https://arxiv.org/abs/1812.10641

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