Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimates of Lebesgue constants via Fourier transforms. Many dimensions   This is an attempt of a comprehensive survey of the results in which
estimates of the norms of linear means of multiple Fourier series, the Lebesgue
constants, are obtained by means of estimating the Fourier transform of a
function generating such a method. Only few proofs are given in order to
illustrate a general idea of techniques applied. Among the results are well
known elsewhere as well as less known or published in an unacceptable journals
and several new unpublished results.

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The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
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The categories of this paper are: math-ph