Analytic regularity for the Bergman kernel
Analytic regularity for the Bergman kernel
Let Ω⊂ℝ 2 be a bounded, convex and open set with real analytic boundary. Let T Ω ⊂ℂ 2 be the tube with base Ω, and let ℬ be the Bergman kernel of T Ω . If Ω is strongly convex, then ℬ is analytic away from the boundary diagonal. …