14 citations · 23 across the 5 of their papers we have counts for
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math.CA2008
Extension Theorems for Paraboloids in the Finite Field Setting
Alex Iosevich, Doowon Koh
In this paper we study the boundedness of the extension operators associated with paraboloids in vector spaces over finite fields.In higher even dimensions, we estimate t…
math.CA2008★ 14 cited
Extension theorems for the Fourier transform associated with non-degenerate quadratic surfaces in vector spaces over finite fields
Alex Iosevich, Doowon Koh
We study the restriction of the Fourier transform to quadratic surfaces in vector spaces over finite fields. In two dimensions, we obtain the sharp result by considering the sums o…
math.CA2007★ 3 cited
Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdos-Falconer distance conjecture
Derrick Hart, Alex Iosevich, Doowon Koh +1
We prove a point-wise and average bound for the number of incidences between points and hyper-planes in vector spaces over finite fields. While our estimates are, in general, sharp…