Decomposition of bent generalized Boolean functions

A one to one correspondence between regular generalized bent functions from Fn2 to Z2m , and m−tuples of Boolean bent functions is established. This correspondence maps selfdual (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.