Non-MSF Wavelets for the Hardy Space H²(ℝ)
Biswaranjan Behera
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004), p. 169-178 / Harvested from The Polish Digital Mathematics Library

All wavelets constructed so far for the Hardy space H²(ℝ) are MSF wavelets. We construct a family of H²-wavelets which are not MSF. An equivalence relation on H²-wavelets is introduced and it is shown that the corresponding equivalence classes are non-empty. Finally, we construct a family of H²-wavelets with Fourier transform not vanishing in any neighbourhood of the origin.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:281033
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-7,
     author = {Biswaranjan Behera},
     title = {Non-MSF Wavelets for the Hardy Space H$^2$($\mathbb{R}$)},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {52},
     year = {2004},
     pages = {169-178},
     zbl = {1096.42023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-7}
}
Biswaranjan Behera. Non-MSF Wavelets for the Hardy Space H²(ℝ). Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 169-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-7/