Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functional calculus and quantization commutes with reduction for
  Toeplitz operators on CR manifolds   Given a CR manifold with non-degenerate Levi form, we show that the operators
of the functional calculus for Toeplitz operators are complex Fourier integral
operators of Szeg\H{o} type. As an application, we establish semi-classical
spectral dimensions for Toeplitz operators. We then consider a CR manifold with
a compact Lie group action $G$ and we establish quantization commutes with
reduction for Toeplitz operators. Moreover, we also compute semi-classical
spectral dimensions for $G$-invariant Toeplitz operators.

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc