Non-MSF Wavelets for the Hardy Space H2(R)

Biswaranjan Behera
2004 Bulletin of the Polish Academy of Sciences Mathematics  
All wavelets constructed so far for the Hardy space 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 not vanishing in any neighbourhood of the origin.
doi:10.4064/ba52-2-7 fatcat:rxgk6rj4p5a7xcw5me3nyido7i