2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78909The 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.17 pages, 1 figure. This revised version remarks on how our results compare with an extension theorem of TumanovComplex Variables32D15 (Primary) 32F25 (Secondary)text