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master's thesis
Konačni napeti bazni okviri
2020. urn:nbn:hr:126:802848
Lovrić, Lucija
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

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Lovrić, L. (2020). Konačni napeti bazni okviri (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:802848

Lovrić, Lucija. "Konačni napeti bazni okviri." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2020. https://urn.nsk.hr/urn:nbn:hr:126:802848

Lovrić, Lucija. "Konačni napeti bazni okviri." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2020. https://urn.nsk.hr/urn:nbn:hr:126:802848

Lovrić, L. (2020). 'Konačni napeti bazni okviri', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 19 April 2024, https://urn.nsk.hr/urn:nbn:hr:126:802848

Lovrić L. Konačni napeti bazni okviri [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2020 [cited 2024 April 19] Available at: https://urn.nsk.hr/urn:nbn:hr:126:802848

L. Lovrić, "Konačni napeti bazni okviri", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:126:802848

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Metadata
TitleKonačni napeti bazni okviri
Title (english)Finite Tight Base Frames
AuthorLucija Lovrić
MentorIvan Matić (mentor)
Committee memberIvan Soldo (predsjednik povjerenstva)
Committee memberIvan Matić (član povjerenstva)
Committee memberMarija Miloloža Pandur (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2020-10-12, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovome radu predstavljeni su bazni okviri na konačnodimenzionalnom Hilbertovom prostoru. U prvom dijelu detaljnije su proučeni napeti bazni okviri i operatori: analize, sinteze i operator baznog okvira. Nadalje, analizirana je konstrukcija napetih baznih okvira. Zatim su definirani kanonski dualni bazni okviri i njihova svojstva. Na kraju je definiran potencijal baznog okvira i predstavljena su neka njegova svojstva.
Abstract (english)
In this thesis frames on finite Hilbert space were introduced. In the first part, tight frames and operators: analysis, synthesis and frame operator are described in more detail. Furthermore, construction of tight frames is analysed. Then, canonical dual frames and some of their properties are defined. Finally, frame potential is defined and its properties are shown.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:802848
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2020-10-23 06:24:19