Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A pseudo-probabilistic approach to the dilation equation for wavelets   The dilation equation arises naturally when using a multiresolution analysis
to construct a wavelet basis. We consider solutions in the space of signed
measures, which, after normalization, can be viewed as pseudo-probability
measures. Using probabilistic ideas as well as a notion of binary expansions,
we discuss the existence and absolute continuity of solutions in dimensions one
and two, efficiently recovering previous results in two natural cases. A
central role is played by the development of two variants of the classical
cascade algorithm, which are adapted to the pseudo-probabilistic and elementary
number theoretic context.

32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th