# Wydawnictwa / Czasopisma IMPAN / Bulletin Polish Acad. Sci. Math. / Wszystkie zeszyty

## Construction of Non-MSF Non-MRA Wavelets for $L^{2}(\mathbb R)$ and $H^{2}(\mathbb R)$ from MSF Wavelets

### Tom 57 / 2009

Bulletin Polish Acad. Sci. Math. 57 (2009), 33-40 MSC: Primary 42C40. DOI: 10.4064/ba57-1-4

#### Streszczenie

Considering symmetric wavelet sets consisting of four intervals, a class of non-MSF non-MRA wavelets for $L^{2}(\mathbb R)$ and dilation 2 is obtained. In addition, we obtain a family of non-MSF non-MRA $H^{2}$-wavelets which includes the one given by Behera [Bull. Polish Acad. Sci. Math. 52 (2004), 169–178].

#### Autorzy

• Aparna VyasDepartment of Mathematics