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Dimension functions, scaling sequences, and wavelet sets (CROSBI ID 150236)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Arambašić, Ljiljana ; Bakić, Damir ; Rajić, Rajna Dimension functions, scaling sequences, and wavelet sets // Studia mathematica, 198 (2010), 1; 1-32. doi: 10.4064/sm198-1-1

Podaci o odgovornosti

Arambašić, Ljiljana ; Bakić, Damir ; Rajić, Rajna

engleski

Dimension functions, scaling sequences, and wavelet sets

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.

dimension function ; wavelet

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Podaci o izdanju

198 (1)

2010.

1-32

objavljeno

0039-3223

1730-6337

10.4064/sm198-1-1

Povezanost rada

Matematika

Poveznice
Indeksiranost