Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of series of dilated functions and spectral norms of GCD
  matrices   We establish a connection between the $L^2$ norm of sums of dilated functions
whose $j$th Fourier coefficients are $\mathcal{O}(j^{-\alpha})$ for some
$\alpha \in (1/2,1)$, and the spectral norms of certain greatest common divisor
(GCD) matrices. Utilizing recent bounds for these spectral norms, we obtain
sharp conditions for the convergence in $L^2$ and for the almost everywhere
convergence of series of dilated functions.

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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph