Considering symmetric wavelet sets consisting of four intervals, a class of non-MSF non-MRA wavelets for L²(ℝ) and dilation 2 is obtained. In addition, we obtain a family of non-MSF non-MRA H²-wavelets which includes the one given by Behera [Bull. Polish Acad. Sci. Math. 52 (2004), 169-178].
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-1-4, author = {Aparna Vyas}, title = {Construction of Non-MSF Non-MRA Wavelets for L$^2$($\mathbb{R}$) and H$^2$($\mathbb{R}$) from MSF Wavelets}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {57}, year = {2009}, pages = {33-40}, zbl = {1166.42024}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-1-4} }
Aparna Vyas. Construction of Non-MSF Non-MRA Wavelets for L²(ℝ) and H²(ℝ) from MSF Wavelets. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) pp. 33-40. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-1-4/