Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters

Nira Dyn, Ognyan Kounchev, David Levin, Hermann Render

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate non-stationary orthogonal wavelets based on a non-stationary interpolatory subdivision scheme reproducing a given set of exponentials with real-valued parameters. The construction is analogous to the construction of Daubechies wavelets using the subdivision scheme of Deslauriers and Dubuc. The main result is the existence and smoothness of these Daubechies type wavelets.

Original languageEnglish
Pages (from-to)288-306
Number of pages19
JournalApplied and Computational Harmonic Analysis
Volume37
Issue number2
DOIs
StatePublished - Sep 2014

Keywords

  • Daubechies wavelets
  • Non-stationary subdivision
  • Non-stationary wavelets
  • Wavelet analysis

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