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Invariant Theory of the Bergman Kernel
where r ∈ C∞ is a defining function of the boundary ∂Ω such that r > 0 in Ω and dr 6= 0 on ∂Ω. The problem is to choose r appropriately and express φ modulo O(r) and ψ modulo O∞(r) invariantly in the sense of local biholomorphic geometry. This …