Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orthogonal basis for functions over a slice of the Boolean hypercube   We present an orthogonal basis for functions over a slice of the Boolean
hypercube. Our basis is also an orthogonal basis of eigenvectors for the
Johnson and Kneser graphs. As an application of our basis, we streamline
Wimmer's proof of Friedgut's theorem for slices of the Boolean hypercube.

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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci