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Asymptotic Behaviour of Reproducing Kernels, Berezin Quantization and Mean-Value Theorems

1999
Let Ω be a domain in C n , F and G positive measurable functions on Ω such that 1/F and 1/G are locally bounded, A α 2 the space of all holomorphic functions on Ω square-integrable with respect to the measure F α G dm, where dm is the 2n-dimensional Lebesgue measure, K α (x,y) the reproducing kernel for A α 2 (if it exists), and \({B_\alpha }f(y) = {K_\
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