Pregled bibliografske jedinice broj: 395307
Dimension functions, scaling sequences, and wavelet sets
Dimension functions, scaling sequences, and wavelet sets // Studia mathematica, 198 (2010), 1; 1-32 doi:10.4064/sm198-1-1 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 395307 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Dimension functions, scaling sequences, and wavelet sets
Autori
Arambašić, Ljiljana ; Bakić, Damir ; Rajić, Rajna
Izvornik
Studia mathematica (0039-3223) 198
(2010), 1;
1-32
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
dimension function ; wavelet
Sažetak
The paper is a continuation of our study of dimension functions of orthonormal wavelets on the real line with dyadic dilations. The main result provides an explicit reconstruction of the underlying generalized multiresolution analysis for any MSF wavelet. We also reobtain a result of Bownik, Rzeszotnik and Speegle which states that for each dimension function D there exists an MSF wavelet whose dimension function coincides with D. Our method provides an explicit construction of an admissible generalized multiresolution analysis (and, a posteriori, of a wavelet) from an arbitrary dimension function. Several examples are included.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372784-2753 - Hilbertovi C*-moduli (Guljaš, Boris, MZOS ) ( CroRIS)
MZOS-037-0372784-2755 - Ortonormirani valići i generalizirane multirezolucijske analize (Bakić, Damir, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Rudarsko-geološko-naftni 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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
