Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Star products: a group-theoretical point of view   Adopting a purely group-theoretical point of view, we consider the star
product of functions which is associated, in a natural way, with a square
integrable (in general, projective) representation of a locally compact group.
Next, we show that for this (implicitly defined) star product explicit formulae
can be provided. Two significant examples are studied in detail: the group of
translations on phase space and the one-dimensional affine group. The study of
the first example leads to the Groenewold-Moyal star product. In the second
example, the link with wavelet analysis is clarified.

36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an