IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Wavelet decompositions of non-refinable shift invariant spaces


A 2000 Preprint by S. Dekel and D. Leviatan

  • 2000:29
  • The motivation for this work is a recently constructed family of generators of shift-invariant spaces with certain optimal approximation properties, but which are not refinable in the classical sense. We try to see whether, once the classical refinability requirement is removed, it is still possible to construct meaningful wavelet decompositions of dilates of the shift invariant space that are well suited for applications.

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