2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217552We establish a parameter-dependent pseudo-differential calculus on an infinite cylinder, regarded as a manifold with conical exits to infinity. The parameters are involved in edge-degenerate form, and we formulate the operators in terms of operator-valued amplitude functions.Keywords. Edge-degenerate operators, parameter-dependent pseudo-differential operators, norm estimates with respect to a parameterAnalysis of PDEs35S35; 35J70text