Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Integral Operators and Schwartz Kernel Theorem   In connection with the classical Schwartz kernel theorem, we show that in the
framework of Colombeau generalized functions a large class of linear mappings
admit integral kernels. To do this, we need to introduce news spaces of
generalized functions with slow growth and the corresponding adapted linear
mappings. Finally, we show that in some sense Schwartz' result is contained in
our main theorem.

27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th