Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics of G-equivariant Szeg\H{o} kernels   Let $(X, T^{1,0}X)$ be a compact connected orientable CR manifold of
dimension $2n+1$ with non-degenerate Levi curvature. Assume that $X$ admits a
connected compact Lie group $G$ action. Under certain natural assumptions about
the group $G$ action, we define $G$-equivariant Szeg\H{o} kernels and establish
the associated Boutet de Monvel-Sj\"ostrand type theorems. When $X$ admits also
a transversal CR $S^1$ action, we study the asymptotics of Fourier components
of $G$-equivariant Szeg\H{o} kernels with respect to the $S^1$ action.

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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin