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Parameter Dependence of Weighted Bergman Kernels Beyond Smoothness
We study the parameter dependence of weighted Bergman kernels on fixed bounded domains in $\mathbb C^n$. Our main result establishes real-analytic dependence on $t\in(-1,\infty)$ for the kernels associated with $δ^t\,dV$ on bounded pseudoconvex domains with $C^2$ boundary, where $δ$ is the Euclidean
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