Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pointwise convergence of lacunary spherical means   We show that if $f$ is locally in $L\log\log L$ then the lacunary spherical
means converge almost everywhere. The argument given here is a model case for
more general results on singular maximal functions and Radon transforms (see
ref. 6).

26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas