Simone Gallivanone

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20242026

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math.SG2025

Eigenfunction asymptotics in the complex domain for a compact Lie group

Simone Gallivanone, Roberto Paoletti

Let $(G, κ)$ be a compact connected Lie group endowed with a biinvariant Riemannian metric, and let $G ~$ be the complexification of $G$ . We apply Grauert tube techniques to t…

math.SG2024

Equivariant scaling asymptotics for Poisson and Szegő kernels on Grauert tube boundaries

Simone Gallivanone, Roberto Paoletti

Let $(M, κ)$ be a closed and connected real-analytic Riemannian manifold, acted upon by a compact Lie group of isometries $G$ . We consider the following two kinds of equivariant asy…