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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 | 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 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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