Minimal volume of slabs in the complex cube

König, Hermann; Koldobsky, Alexander

doi:10.1090/S0002-9939-2011-11019-0

Minimal volume of slabs in the complex cube
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by Hermann König and Alexander Koldobsky PDF

Proc. Amer. Math. Soc. 140 (2012), 1709-1717 Request permission

Abstract:

We study the volume of sections and slabs in the $n$-dimensional cube for complex scalars. In particular, we investigate the directions of minimal volume for a small width of the slab.

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