2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69807The cyclic group labeled family of quasi-projection operators is used for investigation of decomposition of functions with respect to the cyclic group of order n . Series of new identities thus arising are demonstrated and new perspectives for further investigation are indicated as for example in the case of q-extended special polynomials.General Mathematics00A05text