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Torus equivariant Szegő kernel asymptotics on strongly pseudoconvex CR manifolds (1808.01927v1)

Published 27 Jul 2018 in math.CV

Abstract: Let $(X, T{1,0}X)$ be a compact strongly pseudoconvex CR manifold of dimension $2n+1$. Assume that $X$ admits a Torus action $Td$. In this work, we study the behavior of torus equivariant Szeg\H{o} kernels and prove that the weighted torus equivariant Szeg\H{o} kernels admit asymptotic expansions.

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