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https://open.uns.ac.rs/handle/123456789/27647| Title: | Okviri i translaciono invarijantni prostori Frames and translation invariant spaces |
Authors: | Simić Suzana | Keywords: | Prostori distribucija, p-okvir, te·zinski prostori, translaciono in- varijantni prostori, Fr¶echet-ov okvir;Space of distributions, p-frame, weighted spaces, transla- tion-invariant spaces, Fr¶echet-frame | Issue Date: | 3-Dec-2011 | 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 daje pregled osnovnih pojmova i poznatih rezultata teorije<br />okvira. Prou·cavani su translaciono inavarijantni prostori sa te·zinama i dati uslovi<br />pod kojima kolekcija funkcija ·cini okvir u tom prostoru. Takod¹e, konstruisan je<br />niz takvih prostora i prikazani uslovi pod kojima ¶ce odgovaraju¶ce funkcije koje<br />generi·su taj prostor predstavljati ili Banach-ov okvir ili Riesz-ovu bazu, i samim<br />tim ustanoviti zatvorenost takvog prostora.</p> <p> The basic notions and known results from the theory of frames are given in<br /> thesis. We study translation-invariant weighted spaces and give the conditions<br /> for a collection of functions to form a frame. Further, we construct a sequence of<br /> such spaces and show when the appropriate chosen functions form a p-frame or<br /> Riesz basis, and according to that explain the closedness of the space generated<br /> with these functions.</p> |
URI: | https://open.uns.ac.rs/handle/123456789/27647 |
| Appears in Collections: | PMF Teze/Theses |
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