Large classes of minimally supported frequency wavelets of L^2(\R) and H^2(\R)
Functional Analysis
2007-05-23 v1
Abstract
We introduce a method to construct large classes of MSF wavelets of the Hardy space H^2(\R) and symmetric MSF wavelets of L^2(\R), and discuss the classification of such sets. As application, we show that there are uncountably many wavelet sets of L^2(\R) and H^2(\R). We also enumerate all symmetric wavelets of L^2(\R) with at most three intervals in the positive axis as well as 3-interval wavelet sets of H^2(\R). Finally, we construct families of MSF wavelets of L^2(\R) whose Fourier transform does not vanish in any neighbourhood of the origin.
Cite
@article{arxiv.math/0207141,
title = {Large classes of minimally supported frequency wavelets of L^2(\R) and H^2(\R)},
author = {Nicola Arcozzi and Biswaranjan Behera and Shobha Madan},
journal= {arXiv preprint arXiv:math/0207141},
year = {2007}
}
Comments
28 pages