Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lacunary polynomials in $L^1$: geometry of the unit sphere   Let $\Lambda$ be a finite set of nonnegative integers, and let $\mathcal
P(\Lambda)$ be the linear hull of the monomials $z^k$ with $k\in\Lambda$,
viewed as a subspace of $L^1$ on the unit circle. We characterize the extreme
and exposed points of the unit ball in $\mathcal P(\Lambda)$.

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The categories of this paper are: comp-gas
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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: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph