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We study the reproducing kernel for weighted polynomial Bergman spaces and consider applications to the Berezin transform.
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2000
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Berndtsson, B., Weighted estimates for the ∂ ¯ {\overline{\partial}} -equation
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2001
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2002
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2004
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Ameur, Y., Hedenmalm, H., Makarov, N., Fluctuations of eigenvalues of random normal matrices
2008
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Berman, R., Determinantal point processes and fermions on complex manifolds: bulk universality
2008
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Berman, R., Berndtsson, B., Sjöstrand, J., A direct approach to Bergman kernel asymptotics for positive line bundles,
2008
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Duren, P., Schuster, A., Bergman spaces,
2004
Cited alongside, same era.
Ameur, Y., Hedenmalm, H., Makarov, N., Random normal matrices and Ward’s identities
Cited in the paper.
Jakobsson, S., Singularity resolution of weighted Bergman kernels
Cited in the paper.
Berman, R., Bergman kernels and weighted equilibrium measures of ℂ n {\mathbb{C}}^{n}
2009
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