For regular dominant weights λ, the kλ-th equivariant pieces of the Szegő and Poisson kernels on the Grauert tube boundary admit explicit near-diagonal scaling asymptotics, with Gaussian decay away from the coadjoint-orbit locus.
Boutet de Monvel, V
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Eigenfunction asymptotics in the complex domain for a compact Lie group
For regular dominant weights λ, the kλ-th equivariant pieces of the Szegő and Poisson kernels on the Grauert tube boundary admit explicit near-diagonal scaling asymptotics, with Gaussian decay away from the coadjoint-orbit locus.