Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fourier analysis associated to a vector measure on a compact group   In this paper, we introduce and study the Fourier transform of functions
which are integrable with respect to a vector measure on a compact group (not
necessarily abelian). We also study the Fourier transform of vector measures.
We also introduce and study the convolution of functions from $L^p$-spaces
associated to a vector measure. We prove some analogues of the classical
Young's inequalities. Similarly, we also study convolution of a scalar measure
and a vector measure.

21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc