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math.CV2022★ 1 cited
Bergman kernel functions associated to measures supported on totally real submanifolds
George Marinescu, Duc-Viet Vu
We prove that the Bergman kernel function associated to a smooth measure supported on a piecewise-smooth maximally totally real submanifold K in C^n is of polynomial growth (e.g, i…
math.CV2022
Semi-classical asymptotics of partial Bergman kernels on -symmetric complex manifolds with boundary
Chin-Yu Hsiao, Xiaoshan Li, George Marinescu
Let be a relatively compact connected open subset with smooth connected boundary of a complex manifold . Let be a positive line bundle over . Su…