Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tight Wavelet Frame Sets in Finite Vector Spaces   Let $q\geq 2$ be an integer, and $\Bbb F_q^d$, $d\geq 1$, be the vector space
over the cyclic space $\Bbb F_q$. The purpose of this paper is two-fold. First,
we obtain sufficient conditions on $E \subset \Bbb F_q^d$ such that the inverse
Fourier transform of $1_E$ generates a tight wavelet frame in $L^2(\Bbb
F_q^d)$. We call these sets (tight) wavelet frame sets. The conditions are
given in terms of multiplicative and translational tilings, which is analogous
with Theorem 1.1 ([20]) by Wang in the setting of finite fields. In the second
part of the paper, we exhibit a constructive method for obtaining tight wavelet
frame sets in $\Bbb F_q^d$, $d\geq 2$, $q$ an odd prime and $q\equiv 3$ (mod
4).

33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph