Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cancellation for the simplex Hilbert transform   We show that the truncated simplex Hilbert transform enjoys some cancellation
in the sense that its norm grows sublinearly in the number of scales retained
in the truncation. This extends the recent result by Tao on cancellation for
the multilinear Hilbert transform. Our main tool is the Hilbert space
regularity lemma due to Gowers, which enables a very short proof.

25
The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph