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https://open.uns.ac.rs/handle/123456789/27387| Title: | The Fourier series of one class of functions with discontinuities Furijeov red jedne klase funkcija sa diskontinuitetima |
Authors: | Sarić Branko | Keywords: | covector field, total value of improper integrals, the Fourier series;kovektorsko polje, totalna vrednost nesvo-jstvenog integrala, Fourijeov red | Issue Date: | 13-Oct-2009 | Publisher: | Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu University of Novi Sad, Faculty of Sciences at Novi Sad |
Abstract: | <p>U disertaciji se na bazi redefinisanih pojmova kako prostornog (inte-gralnog) izvoda tako i ostatka (rezidijuma) kompleksnih funkcija definiše pojam totalne vrednosti nesvojstvenih integrala. Ova redefinisana vrednost integrala iskorišćcena je za dokaz teoreme, koja je uopštenje Dirihlejeve teoreme o razvoju realnih funkcija u Furijeov trigonometrijski red.</p> <p>In this thesis we define the notion of the total value of improper integrals based on the redefined notions of the spatial (integral) derivative and the residue of complex functions. This redefined integrals is used to prove the theorem which is generalization of Dirichlet theorem on the expansion of real valued functions into Fourier trigonometric series.</p> |
URI: | https://open.uns.ac.rs/handle/123456789/27387 |
| Appears in Collections: | PMF Teze/Theses |
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