A Bilinear Approach to the Finite Field Restriction Problem
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DOI: 10.1093/imrn/rnaf077
Abstract: Let $P$ denote the $3$-dimensional paraboloid over a finite field of odd characteristic in which $-1$ is not a square. We show that the Fourier extension operator associated with $P$ maps $L^{2}$ to $L^{r}$ for… read more here.
Keywords: bilinear approach; field; field restriction; problem ... See more keywords