2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78926We give a general approach to infinite dimensional non-Gaussian analysis which generalizes the work \cite{KSWY95}. For given measure we construct a family of biorthogonal systems. We study their properties and their Gel'fand triples that they generate. As an example we consider the measures of Poisson type.50 pagesFunctional AnalysisGeneralized Appell Systemstext