Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Kato-Sobolev spaces. The Wiener-L\'{e}vy theorem for Kato-Sobolev
  algebras $\mathcal{H}_{\mathtt{ul}}^{s}$   We investigate some multiplication properties of Kato-Sobolev spaces by
adapting the techniques used in the study of Beurling algebras by Coifman and
Meyer. Also we develop an analytic functional calculus for Kato-Sobolev
algebras based on an integral representation formula belonging A. P.
Calder\'{o}n.

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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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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: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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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: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con