2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106140We prove an analog of the classical Hartogs extension theorem for CR $L^{2}$ functions defined on boundaries of certain (possibly unbounded) domains on coverings of strongly pseudoconvex manifolds. Our result is related to a problem posed in the paper of Gromov, Henkin and Shubin [GHS] on holomorphic $L_{2}$ functions on coverings of pseudoconvex manifolds.16 pages, revised versionComplex Variables32V25; 32A40text