Non-msf Wavelets for the Hardy Space H(r)

نویسنده

  • BISWARANJAN BEHERA
چکیده

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

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تاریخ انتشار 2002