Furijeov red jedne klase funkcija sa diskontinuitetima / The Fourier series of one class of functions with discontinuities

Description

<p>U disertaciji se na bazi redefinisanih pojmova kako prostornog (inte-gralnog) izvoda tako i ostatka (rezidijuma) kompleksnih funkcija defini&scaron;e pojam totalne vrednosti nesvojstvenih integrala. Ova redefinisana vrednost integrala iskori&scaron;ćcena je za dokaz teoreme, koja je uop&scaron;tenje 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>

Links & Downloads

1. https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija159369255313715.pdf?controlNumber=(BISIS)73296&fileName=159369255313715.pdf&id=15934&source=NDLTD&language=en
2. https://www.cris.uns.ac.rs/record.jsf?recordId=73296&source=NDLTD&language=en

Tags

Additional Fields

Identifer	oai:union.ndltd.org:uns.ac.rs/oai:CRISUNS:(BISIS)73296
Date	13 October 2009
Creators	Sarić Branko
Contributors	Pilipović Stevan, Takači Arpad, Teofanov Nenad, Mateljević Miodrag
Publisher	Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, University of Novi Sad, Faculty of Sciences at Novi Sad
Source Sets	University of Novi Sad
Language	Serbian
Detected Language	English
Type	PhD thesis