Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A short and simple proof of the Jurkat--Waterman theorem on conjugate
  functions   It is well--known that certain properties of continuous functions on the
circle $\mathbb T$, related to the Fourier expansion, can be improved by a
change of variable, i.e., by a homeomorphism of the circle onto itself. One of
the results in this area is the Jurkat--Waterman theorem on conjugate
functions, which improves the classical Bohr--P\'al theorem. In the present
work we provide a short and technically very simple proof of the
Jurkat--Waterman theorem. Our approach yields a stronger result.

17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph