<p>Proučaveni su uop&scaron;teni slučajni procesi na različitim prostorima uop&scaron;tenih funkcija i date njihove reprezentacije. Dati su potrebni i dovoljni uslovi za različite konvergencije niza uop&scaron;tenih slučajnih procesa. Data je ekstenzija Gausovog uop&scaron;tenog slučajnog procesa na Hilbertovom prostoru.</p> / <p>Generalized random processes on different&nbsp; spaces of generalized functions are considered. The representation of such processes are given. Necessary and sufficient conditions for different convergence of a a sequence of generalized random pocesses are obtained. Extension of a Gaussian generalized random pocess to a Hilbert space is obtained.</p>