Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Summability methods and Fourier analysis on $\mathbb{R}^{\times}$   We introduce a certain class of summability methods on $L^{\infty}([1,
\infty))$ which is defined by convolution in the group algebra
$L^1(\mathbb{R}^{\times})$. This class contains an integral version of
Ces\`{a}ro summability method and we particularly give a necessary and
sufficient condition for a summability method in the class to equivalent to
this one. Also, we consider another class of summability methods concerned with
convolution in the group algebra $L^1(\mathbb{R})$ and give similar results.

1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con