Reference : About non stationary multiresolution analysis and wavelets
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/100540
About non stationary multiresolution analysis and wavelets
English
Bastin, Françoise mailto [Université de Liège - ULg > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes >]
Simons, Laurent mailto [Université de Liège - ULg > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes >]
2013
Results in Mathematics [=RM]
Springer
63
1
485-500
Yes (verified by ORBi)
International
1422-6383
1420-9012
[en] Wavelets ; (Non stationary) Multiresolution analysis ; Scaling functions ; Orthonormal bases
[en] The characterization of orthonormal bases of wavelets by means of convergent series involving only the mother wavelet is known, as well as the characterization of wavelets which can be constructed from a stationary multiresolution analysis or a scaling function (see for example the book of Hernandez-Weiss and references therein). Here we show that under some asymptotic condition, these results remain true in the non stationary case.
Researchers
http://hdl.handle.net/2268/100540
10.1007_s00025-011-0212-z

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