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Ramadanov Theorem for Weighted Bergman Kernels on Complex Manifolds

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Part of the book series: Trends in Mathematics ((TM))

Abstract

We study the limit behavior of weighted Bergman kernels on a sequence of domains in a manifold M and show that under some conditions on domains and weights, weighted Bergman kernel converges uniformly on compact sets.

Mathematics Subject Classification (2010). Primary 32A36; Secondary 32A25.

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Correspondence to Zbigniew Pasternak-Winiarski .

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© 2016 Springer International Publishing Switzerland

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Pasternak-Winiarski, Z., Wójcicki, P.M. (2016). Ramadanov Theorem for Weighted Bergman Kernels on Complex Manifolds. In: Kielanowski, P., Ali, S., Bieliavsky, P., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-31756-4_28

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