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arXiv · 2008.00837

Bergman kernels for Paley-Wiener spaces and Nazarov's proof of the Bourgain-Milman theorem

Bo Berndtsson
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Abstract

We give a general inequality for Bergman kernels of Bergman spaces defined by convex weights in $\C^n$. We also discuss how this can be used in Nazarov's proof of the Bourgain-Milman theorem, as a substitute for H\"ormander's estimates for the $\dbar$-equation.

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Bo Berndtsson. 2020-08-03. Bergman kernels for Paley-Wiener spaces and Nazarov's proof of the Bourgain-Milman theorem. https://arxiv.org/abs/2008.00837

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