论文标题
g-等级szegő内核的渐近学
Asymptotics of G-equivariant Szegő kernels
论文作者
论文摘要
令$（x，x，t^{1,0} x）$为尺寸$ 2N+1 $的紧凑连接的可定向的Cr歧管，而非排级Levi Curvature。假设$ x $承认连接的紧凑型谎言组$ g $ action。在某些关于组$ g $ ACTION的自然假设下，我们定义$ g $ equivariantszegő内核，并建立相关的boutet de monvel-sjöstrandtype定理。当$ x $承认也是横向cr $ s^1 $动作时，我们研究了$ g $ equivariantszegő内核的傅立叶组件的渐近学，相对于$ s^1 $ action。
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 Szegő kernels and establish the associated Boutet de Monvel-Sjöstrand type theorems. When $X$ admits also a transversal CR $S^1$ action, we study the asymptotics of Fourier components of $G$-equivariant Szegő kernels with respect to the $S^1$ action.
