Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Szeg\H{o} and Widom theorems for finite codimensional subalgebras of a
  class of uniform algebras   We establish versions of Szeg\H{o}'s distance formula and Widom's theorem on
invertibility of (a family of) Toeplitz operators in a class of finite
codimension subalgebras of uniform algebras, obtained by imposing a finite
number of linear constraints. Each such algebra is naturally represented on a
family of reproducing kernel Hilbert spaces, which play a central role in the
proofs.

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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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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: bayes-an