Non-MSF wavelets for the Hardy space H^2(\R)
泛函分析
2007-05-23 v1
摘要
We prove three results on wavelets for the Hardy space H^2(\R). All wavelets constructed so far for H^2(\R) are MSF wavelets. We construct a family of H^2-wavelets which are not MSF. An equivalence relation on H^2-wavelets is introduced and it is shown that the corresponding equivalence classes are non-empty. Finally, we construct a family of H^2-wavelets with Fourier transform discontinuous at the origin.
引用
@article{arxiv.math/0207142,
title = {Non-MSF wavelets for the Hardy space H^2(\R)},
author = {Biswaranjan Behera},
journal= {arXiv preprint arXiv:math/0207142},
year = {2007}
}
备注
11 pages