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

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Title: Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters
Authors: Dyn, NiraKounchev, OgnyanLevin, DavidRender, Hermann
Permanent link: http://hdl.handle.net/10197/5484
Date: Sep-2014
Online since: 2014-03-27T15:27:02Z
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-Dubuc. The main result is the existence and smoothness of these Daubechies type wavelets.
Type of material: Journal Article
Publisher: Elsevier
Journal: Applied Computational Harmonic Analysis (ACHA)
Volume: 37
Issue: 2
Start page: 288
End page: 306
Copyright (published version): 2014 Elsevier
Keywords: Wavelet analysisNon-stationary waveletsNon-stationary subdivisionDaubechies wavelets
DOI: 10.1016/j.acha.2013.12.003
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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