  A one to one correspondence between regular generalized bent functions from
$\F_2^n$ to $\Z_{2^m},$ and $m-$tuples of Boolean bent functions is
established. This correspondence maps self-dual (resp. anti-self-dual)
generalized bent functions to $m-$tuples of self-dual (resp. anti self-dual)
Boolean bent functions. An application to the classification of regular
generalized bent functions under the extended affine group is given.
