Paper's Title:

On the Constant in a Transference Inequality for the Vector-valued Fourier Transform

Author(s):

Dion Gijswijt and Jan van Neerven

Delft University of Technology,
Faculty EEMCS/DIAM,
 P.O. Box 5031,
2600 GA Delft,
The Netherlands.

URL: http://aw.twi.tudelft.nl/~neerven/
URL: http://homepage.tudelft.nl/64a8q/

E-mail: J.M.A.M.vanNeerven@TUDelft.nl
E-mail: D.C.Gijswijt@TUDelft.nl

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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