Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the general form of linear functionals on the Hardy spaces $H^1$ over
  compact Abelian groups and some of its applications   The celebrated Fefferman's theorems on the general form of linear functionals
on the Hardy space $H^1$ over the circle group is generalized to the case of an
arbitrary compact Abelian group with totally ordered dual. Several corollaries
that can be applied to multiple lacunary Fourier series and atomic
decomposition on the two dimensional torus are obtained.

24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph