Doowon Koh

activity

20062023

most citedExtension theorems for the Fourier transform associated with non-degenerate quadratic surfaces in vector spaces over finite fields

14 citations · 68 across the 47 of their papers we have counts for

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Showing 2018 · math.CAShow all

3 papers · 2 filters

math.CA2018

Extension theorems and a connection to the Erdős-Falconer distance problem over finite fields

Doowon Koh, Thang Pham, Le Anh Vinh

The first purpose of this paper is to provide new finite field extension theorems for paraboloids and spheres. By using the unusual good Fourier transform of the zero sphere in som…

math.CA2018★ 9 cited

On restriction estimates for the zero radius sphere over finite fields

Alex Iosevich, Doowon Koh, Sujin Lee +2

In this paper, we solve completely the $L^{2} \to L^{r}$ extension conjecture for the zero radius sphere over finite fields. We also obtain the sharp $L^{p} \to L^{4}$ extension estimate for…

math.CA2018★ 12 cited

On the quotient set of the distance set

A. Iosevich, D. Koh, H. Parshall

Let $F_{q}$ be a finite field of order $q .$ We prove that if $d \geq 2$ is even and $E \subset F_{q}^{d}$ with $∣ E ∣ \geq 9 q^{\frac{d}{2}}$ then $$ {\Bbb F}_q=\frac{Δ(E)}{Δ(E)}…