Pregled bibliografske jedinice broj: 1068307
Sequence Dominance in Shift-Invariant Spaces
Sequence Dominance in Shift-Invariant Spaces // The journal of fourier analysis and applications, 26 (2020), 4; 55, 14 doi:10.1007/s00041-020-09765-3 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1068307 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Sequence Dominance in Shift-Invariant Spaces
Autori
Berić, Tomislav ; Šikić, Hrvoje
Izvornik
The journal of fourier analysis and applications (1069-5869) 26
(2020), 4;
55, 14
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Shift invariant systems, Bases, Frames, Riesz bases, Periodization function, Besselian property, Hilbertian property
Sažetak
We show that a Bessel sequence Bψ of integer translates of a square integrable function ψ∈L2(R) has the Besselian property if and only if its periodization function pψ is bounded from below. We also give characterizations of Besselian and Hilbertian properties of a general sequence Bψ of integer translates in terms of the classical notion of sequence dominance.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2016-06-1046 - Operatori na C*-algebrama i Hilbertovim modulima (OCAHM) (Bakić, Damir, HRZZ - 2016-06) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
