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arXiv · 1512.03727

On the constant in a transference inequality for the vector-valued Fourier transform

Dion Gijswijt·Jan van Neerven
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Abstract

The standard proof of the equivalence of Fourier type on R^d and on the torus T^d is usually stated in terms of an implicit constant, defined as the minimum of a sum of powers of sinc functions. In this note we compute this minimum explicitly.

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Dion Gijswijt, Jan van Neerven. 2016-04-05. On the constant in a transference inequality for the vector-valued Fourier transform. https://arxiv.org/abs/1512.03727

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