Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sobolev spaces associated to the harmonic oscillator   We define the Hermite--Sobolev spaces naturally associated to the harmonic
oscillator $H= -\Delta +|x|^2.$ Structural properties, relations with the
classical Sobolev spaces, boundedness of operators and almost everywhere
convergence of solutions of the Schr\"odinger equation are also considered.

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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
31
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: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga