  The Lewy extension theorem asserts the holomorphic extendability of CR
functions defined in a neighborhood of a point on a hypersurface in C^{n+1}.
The edge-of-the-wedge theorem asserts the extendability of holomorphic
functions defined in wedges in C^{n+1} with edge a maximally real submanifold.
In this article we prove under suitable hypotheses the holomorphic
extendability to an open set in C^{n+1} of CR functions defined in the
intersection of a hypersurface with a wedge whose edge is contained in the
hypersurface. Unlike the situation for the classical edge-of-the-wedge theorem,
for this hypersurface version extendability generally depends on the direction
of the wedge.
