Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new approach to temperate generalized functions   A new approach to the algebra G_{\tau} of temperate nonlinear generalized
functions is proposed, in which G_{\tau} is based on the space O_{M} endowed
with is natural topology in contrary to previous constructions. Thus, this
construction fits perfectly in the general scheme of construction of Colombeau
type algebras and reveals better properties of G_{\tau}. This is illustrated by
the natural introduction of a regularity theory in G_{\tau}, of the Fourier
transform, with the definition of G_{O_{C prime}}, the space of rapidly
generalized distributions which is the Fourier image of G_{\tau}.

17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess