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

Published 23 Nov 2015 in math.CA and math.FA | (1512.03727v3)

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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