Analogues of the Wiener-Tauberian and Schwartz theorems for radial functions on symmetric spaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230784We prove a Wiener-Tauberian theorem for $L^1$-spherical functions on a semisimple Lie group of arbitrary real rank. We also establish a Schwartz theorem for complex groups. As a corollary we obtain a Wiener-Tauberian type theorem for for compactly supported distributions.Functional Analysis43A20, 43A90, 43A80, 43A30Analogues of the Wiener-Tauberian and Schwartz theorems for radial functions on symmetric spacestext