101 citations · 193 across the 13 of their papers we have counts for
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math.CA2015★ 18 cited
On polynomial configurations in fractal sets
Kevin Henriot, Izabella Laba, Malabika Pramanik
We show that subsets of of large enough Hausdorff and Fourier dimension contain polynomial patterns of the form \begin{align*} ( x ,\, x + A_1 y ,\, \dots,\, x + A_{…
math.CA2015★ 12 cited
Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Restriction Theorem in Higher Dimensions
Kyle Hambrook, Izabella Łaba
We prove the range of exponents in the general Fourier restriction theorem due to Mockenhaupt, Mitsis, Bak and Seeger is sharp for a large class of measures on …