  In this paper, we prove a kernel formula of Bessel functions attached to
irreducible smooth supercuspidal representations of p-adic $GL(n)$. We also
show that the Bessel function defined by Bessel distribution coincides with the
Bessel function defined via uniqueness of Whittaker models on the open Bruhat
cell. As an application we give a proof of the local converse conjecture of
Jacquet.
