46 citations · 413 across the 115 of their papers we have counts for
Showing 2006 · math.CAShow all
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math.CA2006★ 1 cited
Covering the plane by rotations of a lattice arrangement of disks
Alex Iosevich, Mihail N. Kolountzakis, Mate Matolcsi
Suppose we put an -disk around each lattice point in the plane, and then we rotate this object around the origin for a set of angles. When do we cover the whole plane, excep…
math.CA2006
Average decay estimates for Fourier transforms of measures supported on curves
Luca Brandolini, Giacomo Gigante, Allan Greenleaf +3
We consider Fourier transforms of densities supported on curves in R^d. We obtain sharp lower and close to sharp upper bounds for the L^q decay rates.
math.CA2006★ 4 cited
On distance measures for well-distributed sets
Alex Iosevich, Misha Rudnev
In this paper we investigate the Erdös/Falconer distance conjecture for a natural class of sets statistically, though not necessarily arithmetically, similar to a lattice. We prove…