  We construct a p-adic Eisenstein measure with values in the space of
vector-weight p-adic automorphic forms on certain unitary groups. This measure
allows us to p-adically interpolate special values of certain vector-weight
C-infinity automorphic forms, including Eisenstein series, as their weights
vary.
  We also explain how to extend our methods to the case of Siegel modular forms
and how to recover Nicholas Katz's p-adic families of Eisenstein series for
Hilbert modular forms.
