Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global ultradifferentiable hypoellipticity on compact manifolds   We study the global hypoellipticity problem for certain linear operators in
Komatsu classes of Roumieu and Beurling type on compact manifolds. We present
an approach by combining a characterization of these spaces via eigenfuction
expansions, generated by an elliptic operator, and the analysis of
matrix-symbols obtained by these expansions.

37
The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
17
The categories of this paper are: q-fin
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The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th