Reference : Non Stationary Multiresolution Analysis
 Document type : Scientific congresses and symposiums : Poster Discipline(s) : Physical, chemical, mathematical & earth Sciences : Mathematics To cite this reference: http://hdl.handle.net/2268/91838
 Title : Non Stationary Multiresolution Analysis Language : English Author, co-author : Simons, Laurent [Université de Liège - ULg > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes >] Publication date : 13-Sep-2010 Peer reviewed : No Audience : National Event name : PhD-Day Event date : 13 septembre 2010 Event organizer : The Belgian Mathematical Society Event place (city) : Brussels Event country : Belgium Keywords : [en] Wavelets ; Multiresolution analysis Abstract : [en] An orthonormal basis of wavelets of $L^2(\R)$ is an orthonormal basis of $L^2(\R)$ of type $\psi_{j,k}=2^{j/2}\psi(2^j\cdot-k),\quad j,k\in\Z.$ A classical method to obtain such bases consists in constructing a multiresolution analysis. When the mother wavelet $\psi$ depends on the scale (i.e. the index $j$), a non stationary version of multiresolution analysis is then used. It is for example the case in the general context of Sobolev spaces. We generalize different characterizations in the standard theory of wavelets to the case of multi-scales wavelets and non stationary multiresolution analyses. Permalink : http://hdl.handle.net/2268/91838

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