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Title: | Contribution to the theory of generalized random processes Prilog teoriji uopštenih slučajnih procesa |
Authors: | Lozanov-Crvenković Zagorka | Keywords: | Generalized random pocess, Gaussian random process, representation of generalized random pocess, convergence of a sequence of generalized random pocesses, generalized functions, spaces of generalized functions;Uopšteni slučajni proces, Gausovski slučajni proces, reprezentacija slučajnog procesa, konvergencije niza uopštenih slučajnih procesa, uopštene funkcije, prostori uopštenih funkcija | Issue Date: | 29-May-1989 | Publisher: | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu University of Novi Sad, Faculty of Sciences at Novi Sad |
Abstract: | <p>Proučaveni su uopšteni slučajni procesi na različitim prostorima uopštenih funkcija i date njihove reprezentacije. Dati su potrebni i dovoljni uslovi za različite konvergencije niza uopštenih slučajnih procesa. Data je ekstenzija Gausovog uopštenog slučajnog procesa na Hilbertovom prostoru.</p> <p>Generalized random processes on different 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> |
URI: | https://open.uns.ac.rs/handle/123456789/26303 |
Appears in Collections: | PMF Teze/Theses |
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