  This paper will focus on the proof of local integrability of Bessel functions
for GL(n) (p-adic case) by using the relations between Bessel functions and
local Kloosterman (orbital) integrals proved in several papers of E. M. Baruch
[Ba03] [Ba04] [Ba05], the theory of the (relative) Shalika germs established by
H. Jacquet and Y. Ye in [JY96] [JY99] and G. Stevens' approach [Ste87] on
estimating certain GL(n) generalized Kloosterman sums.
