2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122398We develop integral geometry for non-compactly causal symmetric spaces. We define a complex horospherical transform and, for some cases, identify it with a Cauchy type integral.Revised, final version; to appear in IMRN, 38 pRepresentation TheoryHolomorphic horospherical transform on non-compactly causal spacestext