Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Frames of directional wavelets on $n$-dimensional spheres   The major goal of the paper is to prove that discrete frames of (directional)
wavelets derived from an approximate identity exist. Additionally, a kind of
energy conservation property is shown to hold in the case when a wavelet family
is not its own reconstruction family. Although an additional constraint on the
spectrum of the wavelet family must be satisfied, it is shown that all the
wavelets so far defined in the literature possess this property.

37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an