Construction of Non-MSF Non-MRA Wavelets for $L^{2}(\mathbb R)$ and $ H^{2}(\mathbb R)$ from MSF Wavelets
Volume 57 / 2009
Bulletin Polish Acad. Sci. Math. 57 (2009), 33-40
MSC: Primary 42C40.
DOI: 10.4064/ba57-1-4
Abstract
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].
