Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral multipliers for the Kohn Laplacian on forms on the sphere in
  $\mathbb{C}^n$   The unit sphere $\mathbb{S}$ in $\mathbb{C}^n$ is equipped with the
tangential Cauchy-Riemann complex and the associated Laplacian $\Box_b$. We
prove a H\"ormander spectral multiplier theorem for $\Box_b$ with critical
index $n-1/2$, that is, half the topological dimension of $\mathbb{S}$. Our
proof is mainly based on representation theory and on a detailed analysis of
the spaces of differential forms on $\mathbb{S}$.

25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga