Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the space of ultradistributions vanishing at infinity   We study the structural and linear topological properties of the space
$\dot{\mathcal{B}}^{\prime \ast}_{\omega}$ of ultradistributions vanishing at
infinity (with respect to a weight function $\omega$). Particularly, we show
the first structure theorem for $\dot{\mathcal{B}}^{\prime \ast}_{\omega}$
under weaker hypotheses than were known so far. As an application, we determine
the structure of the S-asymptotic behavior of ultradistributions.

12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: stat
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
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The categories of this paper are: chem-ph