Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some extensions to the functional analytic approach to Colombeau algebra   We extend the functional analytic approach to Colombeau-type spaces of
nonlinear generalized functions in order to study algebras of tempered
generalized functions. We obtain a definition of Fourier transform of nonlinear
generalized functions which has a strict inversion theorem, agrees with the
classical Fourier transform for tempered distributions and preserves well-known
classical properties.

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The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc