Completeness in the Set of Wavelets

نویسندگان

  • GUSTAVO GARRIGÓS
  • DARRIN SPEEGLE
  • David R. Larson
چکیده

We study the completeness properties of the set of wavelets in L2(R). It is well-known that this set is not closed in the unit ball of L2(R). However, if one considers the metric inherited as a subspace (in the Fourier transform side) of L2(R, dξ) ∩ L(R∗, dξ |ξ| ), we do obtain a complete metric space.

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تاریخ انتشار 1999