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

• Autorzy: Biswaranjan Behera
• Języki publikacji: EN

Abstrakty

EN

All wavelets constructed so far for the Hardy space H²(ℝ) 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 not vanishing in any neighbourhood of the origin.

Kategorie tematyczne

• 42C40: Wavelets and other special systems
• 42C15: General harmonic expansions, frames

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 2
• Strony: 169-178

Daty

wydano

2004

Twórcy

autor

Biswaranjan Behera

• Statistics and Mathematics Unit, Indian Statistical Institute, 203, B. T. Road, Calcutta 700108, India

Identyfikatory

DOI

10.4064/ba52-2-7