Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orthonormal Wavelet System in $\ell^2 ({\mathbb{Z}}^2_N)$   Using the group theoretic approach based on the set of digits, we first
investigate a finite collection of functions in $\ell^2 ({\mathbb{Z}}^2_N)$
that satisfies some localization properties in a region of the time-frequency
plane. The digits are associated with an invertible (expansive/non-expansive)
matrix having integer entries. Next, we study and characterize an orthonormal
wavelet system for $\ell^2 ({\mathbb{Z}}^2_N)$. In addition, some results
connecting the uncertainty principle with functions that generate the
orthonormal wavelet system having time-frequency localization properties are
obtained.

15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom