Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex Analysis of Real Functions I: Complex-Analytic Structure and
  Integrable Real Functions   A complex-analytic structure within the unit disk of the complex plane is
presented. It can be used to represent and analyze a large class of real
functions. It is shown that any integrable real function can be obtained by
means of the restriction of an analytic function to the unit circle, including
functions which are non-differentiable, discontinuous or unbounded. An explicit
construction of the analytic functions from the corresponding real functions is
given. The complex-analytic structure can be understood as an universal
regulator for analytic operations on real functions.

1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol