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arXiv · 2008.01005

Global restriction estimates for elliptic hyperboloids

Benjamin Bruce
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Abstract

We prove global Fourier restriction estimates for elliptic, or two-sheeted, hyperboloids of arbitrary dimension $d \geq 2$, extending recent joint work with Oliveira e Silva and Stovall. Our results are unconditional in the (adjoint) bilinear range, $q > \frac{2(d+3)}{d+1}$, and extend conditionally upon further progress toward the local restriction conjecture for elliptic surfaces.

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Benjamin Bruce. 2020-08-03. Global restriction estimates for elliptic hyperboloids. https://arxiv.org/abs/2008.01005

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