  Given a connected reductive algebraic group G over a finite field together
with a representation of the dual group of G in GL(n), Braverman and Kazhdan
defined an exotic Fourier operator on the space of complex valued functions on
the finite group of rational points of G. In these notes we give an explicit
formula for the Fourier kernel and a geometrical interpretation of this formula
(as conjectured by Braverman and Kazhdan under some assumption).
