Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shift-invariant spaces on SI/Z Lie groups   Given a simply connected nilpotent Lie group having unitary irreducible
representations that are square-integrable modulo the center (SI/Z), we develop
a notion of periodization on the group Fourier transform side, and use this
notion to give a characterization of shift-invariant spaces in $L^2(N)$ in
terms of range functions. We apply these results to study the structure of
frame and Reisz families for shift-invariant spaces. We illustrate these
results for the Heisenberg group as well as for other groups with SI/Z
representations.

16
The categories of this paper are: stat
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat