2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122203Let A be a domain of the boundary of a strictly pseudoconvex domain Ωof C^n and M a smooth, closed, maximally complex submanifold of A. We find a subdomain \widetilde A of Ω, depending only on Ωand A, and a complex subvariety W of \widetilde A such that bW\cap A = M. Moreover, a generalization to analytic sets of depth at least 4 is given.16 pages, v2 example modified and generalization to analytic sets (sec. 5) addedComplex Variables32V25, 32D20 (Primary) 32T15 (Secondary)Semi-global extension of maximally complex submanifoldstext