Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Translation-modulation invariant Banach spaces of ultradistributions   We introduce and study a new class of translation-modulation invariant Banach
spaces of ultradistributions. These spaces show stability under Fourier
transform and tensor products; furthermore, they have a natural Banach
convolution module structure over a certain associated Beurling algebra, as
well as a Banach multiplication module structure over an associated
Wiener-Beurling algebra. We also investigate a new class of modulation spaces,
the Banach spaces of ultradistributions $\mathcal{M}^F$ on $\mathbb{R}^{d}$,
associated to translation-modulation invariant Banach spaces of
ultradistributions $F$ on $\mathbb{R}^{2d}$.

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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph