  In this paper, we obtain a complete description of the class of n-tuples (n
>= 2) of doubly commuting isometries. In particular, we present a several
variables analogue of the Wold decomposition for isometries on Hilbert spaces.
Our main result is a generalization of M. Slocinski's Wold-type decomposition
of a pair of doubly commuting isometries.
