Non-MSF wavelets for the Hardy space H2()
Abstract
We prove three results on wavelets for the Hardy space H2(). All wavelets constructed so far for H2() 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 discontinuous at the origin.
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