| | SLO | ENG | Cookies and privacy

Bigger font | Smaller font

Show document

Title:Kompaktnost in konvergenca v prostoru analitičnih funkcij
Authors:Hedžet, Jaka (Author)
Jakovac, Marko (Mentor) More about this mentor... New window
Files:.pdf MAG_Hedzet_Jaka_2021.pdf (466,11 KB)
MD5: 29091DC2ED5DABA8AF7C9950E5F7568B
Work type:Master's thesis/paper (mb22)
Typology:2.09 - Master's Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V magistrskem delu predstavimo in preučujemo prostora zveznih in analitičnih funkcij kompleksne spremenljivke. Opazujemo nekatere značilnosti konvergence in kompaktnosti ter izpeljemo izrek o karakterizaciji normalnih množic. S pomočjo tega dokažemo nekatere pomembne izreke in prikažemo njihovo uporabo na konkretnem primeru. Za konec se lotimo še opazovanja dveh pomembnih funkcij in njune povezave ter predstavimo zelo znan nerešen problem.
Keywords:metrika, zveznost, konvergenca, kompaktnost, analitičnost, faktorizacija, normalne množice, funkcija gama, funkcija zeta
Year of publishing:2021
Publisher:[J. Hedžet]
COBISS_ID:58178051 New window
Average score:(0 votes)
Your score:Voting is allowed only for logged in users.
AddThis uses cookies that require your consent. Edit consent...

Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.


License:CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Description:The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:11.03.2021

Secondary language

Title:Compactness and convergence in the space of analytic functions
Abstract:In the thesis we define and study the spaces of continuous and analytic functions of complex variable. We notice some properties of convergence and compactness and implement a theorem that characterises normal sets. Using this we prove several important theorems and present their use on a specific example. We conclude by exploring the properties of two important functions and their relations and present a famous open problem.
Keywords:metrics, continuity, convergence, compactness, analyticalness, factorisation, normal sets, gamma function, zeta function


Leave comment

You have to log in to leave a comment.

Comments (0)
0 - 0 / 0
There are no comments!

Logos of partners University of Maribor University of Ljubljana University of Primorska University of Nova Gorica