Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uncertainty principles for the short-time Fourier transform on the
  lattice   In this paper, we study a few versions of the uncertainty principle for the
short-time Fourier transform on the lattice $\Z^n \times \T^n$. In particular,
we establish the uncertainty principle for orthonormal sequences,
Donoho--Stark's uncertainty principle, Benedicks-type uncertainty principle,
Heisenberg-type uncertainty principle and local uncertainty inequality for this
transform on $\Z^n \times \T^n$. Also, we obtain the Heisenberg-type
uncertainty inequality using the $k$-entropy of the short-time Fourier
transform on $\Z^n \times \T^n$.

9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph