Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wavelets with the Translation Invariance Property of Order N   All wavelets can be associated to a multiresolution like structure, i.e. an
incr easing sequence of subspaces of L^2(R). We consider the interaction of a
wavel et and the translation operator in terms of which of the subspaces in
this multi resolution like structure are invariant under the translation
operator. This ac tion defines the notion of the translation invariance
property of order n. In this paper we show that wavelets of all levels of
translation invariance exist, first for the classic case of dilation by 2, and
then for arbitrary integral di lation factors.

24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin