2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70801In a previous work, we have shown that a representation of a $p$-adic group obtained by (normalized) parabolic induction from an irreducible supercuspidal representation $σ$ of a Levi subgroup $M$ contains a subquotient which is square integrable, if and only if Harish-Chandra's $μ$-function has a pole in $σ$ of order equal to the parabolic rank of $M$. The aim of the present article is to interpret this result in terms of Langlands' functoriality principle.28 pagesRepresentation TheoryNumber Theory22E50; 11F70; 11F85text