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, Nira
Kounchev, Ognyan
Levin, David
Render, Hermann
Permanent link: http://hdl.handle.net/10197/5484
Date: Sep-2014
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
Copyright (published version): 2014 Elsevier
Keywords: Wavelet analysis;Non-stationary wavelets;Non-stationary subdivision;Daubechies 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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