Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the almost everywhere and norm convergences of N\"orlund means with
  respect to Vilenkin systems   Unlike the classical theory of Fourier series which deals with decomposition
of a function into sinusoidal waves the Vilenkin (Walsh) functions are
rectangular waves. The development of the theory of Vilenkin-Fourier series has
been strongly influenced by the classical theory of trigonometric series but
there are a lot of differences also. The aim of my master thesis is to discuss,
develop and apply the newest developments of this fascinating theory connected
to modern harmonic analysis. In particular, we investigate N\"orlund means but
only in the case when their coefficients are monotone and prove convergence in
Lebesgue and Vilenkin-Lebesgue points. Since almost everywhere points are
Lebesgue and Vilenkin-Lebesgue points for any integrable functions we obtain
almost everywhere convergence of such summability methods.

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The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: solv-int