Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial Fourier series on compact Lie groups   In this note we investigate the partial Fourier series on a product of two
compact Lie groups. We give necessary and sufficient conditions for a sequence
of partial Fourier coefficients to define a smooth function or a distribution.
  As applications, we will study conditions for the global solvability of an
evolution equation defined on $\mathbb{T}^1\times\mathbb{S}^3$ and we will show
that some properties of this evolution equation can be obtained from a constant
coefficient equation.

19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph