Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit computations of Fourier transforms of polyhedral cones   The Fourier transforms of polyhedral cones can be used, via Brion's theorem,
to compute various geometric quantities of polytopes, such as volumes, moments,
and lattice-point counts. We present a novel method of computing these conic
Fourier transforms by polynomial interpolation. Given the fact that computing
volumes of polytopes is #P-hard (Dyer--Frieze [DF88]), we cannot hope for fast
algorithms in the general case. However, with extra assumptions on the
combinatorics of the cone, we demonstrate it is possible to compute its Fourier
transform efficiently.

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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph