Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sums of squares III: hypoellipticity in the infinitely degenerate regime   This is the third in a series of papers dealing with sums of squares and
hypoellipticity in the infinitely degenerate regime. We establish a C^2,delta
generalization of M. Christ's sum of squares theorem, and use a bootstrap
argument with the sum of squares theorem for matrix functions in the second
paper of this series, in order to prove a hypoellipticity theorem generalizing
work in the infinitely degenerate regime to include nondiagonal operators and
more general degeneracies.

28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc