Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Noncommutative Wiener Lemma and A Faithful Tracial State on Banach
  Algebras of Time-Frequency Shift Operators   In this paper we analyze the Banach *-algebra of time-frequency shifts with
absolutely summable coefficients. We prove a noncommutative version of the
Wiener lemma. We also construct a faithful tracial state on this algebra which
implies the algebra contains no compact operators. As a corollary we obtain a
special case of the Heil-Ramanathan-Topiwala conjecture regarding linear
independence of finitely many time-frequency shifts of one $L^2$ function.

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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
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: stat