2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218316Homogeneous superspaces arising from the general linear supergroup are studied within a Hopf algebraic framework. Spherical functions on homogeneous superspaces are introduced, and the structures of the superalgebras of the spherical functions on classes of homogeneous superspaces are described explicitly.AMS-Latex, preprint 31 pages, MSC and DOI addedRepresentation TheoryMathematical Physics17B37; 20G42text