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Okviri i translaciono invarijantni prostori

Frames and translation invariant spaces

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2011
Disertacija.pdf (802.5Kb)
IzvestajKomisije.pdf (12.64Mb)
Author
Simić, Suzana
Mentor
Pilipović, Stevan
Committee members
Takači, Arpad
Teofanov, Nenad
Oparnica, Ljubica
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Abstract
U disertaciji se daje pregled osnovnih pojmova i poznatih rezultata teorije okvira. Prou·cavani su translaciono inavarijantni prostori sa te·zinama i dati uslovi pod kojima kolekcija funkcija ·cini okvir u tom prostoru. Takod¹e, konstruisan je niz takvih prostora i prikazani uslovi pod kojima ¶ce odgovaraju¶ce funkcije koje generi·su taj prostor predstavljati ili Banach-ov okvir ili Riesz-ovu bazu, i samim tim ustanoviti zatvorenost takvog prostora.
The basic notions and known results from the theory of frames are given in thesis. We study translation-invariant weighted spaces and give the conditions for a collection of functions to form a frame. Further, we construct a sequence of such spaces and show when the appropriate chosen functions form a p-frame or Riesz basis, and according to that explain the closedness of the space generated with these functions.
Faculty:
University of Novi Sad, Faculty of Science
Date:
03-12-2011
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
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https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacijadisertacija.pdf?controlNumber=(BISIS)76786&fileName=disertacija.pdf&id=63&source=NaRDuS&language=sr
https://www.cris.uns.ac.rs/record.jsf?recordId=76786&source=NaRDuS&language=sr
https://www.cris.uns.ac.rs/DownloadFileServlet/IzvestajKomisije159378426909067.pdf?controlNumber=(BISIS)76786&fileName=159378426909067.pdf&id=15955&source=NaRDuS&language=sr
/DownloadFileServlet/IzvestajKomisije159378426909067.pdf?controlNumber=(BISIS)76786&fileName=159378426909067.pdf&id=15955
https://nardus.mpn.gov.rs/handle/123456789/17824

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