Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomial-like elements in vector spaces with group actions   In this paper, we study polynomial-like elements in vector spaces equipped
with group actions. We first define these elements via iterated difference
operators. In the case of a full rank lattice acting on an Euclidean space,
these polynomial-like elements are exactly polynomials with periodic
coefficients, which are closely related to solutions of periodic differential
equations. Our main theorem confirms that if the space of polynomial-like
elements of degree zero is of finite dimension then for any $n \in
\mathbb{Z}_+$, the space consisting of all polynomial-like elements of degree
at most $n$ is also finite dimensional.

0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph