Quang-Nhat Le

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20162018

most citedFourier transforms of polytopes, solid angle sums, and discrete volume

6 citations · 11 across the 7 of their papers we have counts for

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Showing 2016 · math.COShow all

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math.CO2016★ 2 cited

Macdonald's solid-angle sum for real dilations of rational polygons

Quang-Nhat Le, Sinai Robins

The solid-angle sum $A_{P} (t)$ of a rational polytope $P \subset R^{d}$ , with $t \in Z$ was first investigated by I.G. Macdonald. Using our F…

math.CO2016★ 6 cited

Fourier transforms of polytopes, solid angle sums, and discrete volume

Ricardo Diaz, Quang-Nhat Le, Sinai Robins

Given a real closed polytope $P$ , we first describe the Fourier transform of its indicator function by using iterations of Stokes' theorem. We then use the ensuing Fourier transfor…