Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear Dependency of Translations and Square Integrable Representations   Let $G$ be a locally compact group. We examine the problem of determining
when nonzero functions in $L^2(G)$ have linearly independent translations. In
particular, we establish some results for the case when $G$ has an irreducible,
square integrable, unitary representation. We apply these results to the
special cases of the affine group, the shearlet group and the Weyl-Heisenberg
group. We also investigate the case when $G$ has an abelian, closed subgroup of
finite index.

17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph