Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Balayage and Short time Fourier transform frames   Using his formulation of the potential theoretic notion of balayage and his
deep results about this idea, Beurling gave sufficient conditions for Fourier
frames in terms of balayage. The analysis makes use of spectral synthesis, due
to Wiener and Beurling, as well as properties of strict multiplicity, whose
origins go back to Riemann. In this setting and with this technology, we
formulate and prove non-uniform sampling formulas in the context of the short
time Fourier transform (STFT).

30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat