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

Nira Dyn, Ognyan Kounchev*, David Levin, Hermann Render

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

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

Funding

FundersFunder number
Bulgarian NSF
Alexander von Humboldt-Stiftung
Tel Aviv UniversityDO-2-275/2008

    Keywords

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

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