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Convex Floating Bodies as Approximations of Bergman Sublevel Sets on Tube Domains

Published 10 Apr 2016 in math.CV | (1604.02635v1)

Abstract: For a pseudoconvex tube domain, we prove estimates that relate the sublevel sets of its diagonal Bergman kernel to the floating bodies of its convex base. This allows us to associate a new affine invariant to any convex body.

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