About non stationary multiresolution analysis and wavelets

Bastin, Françoise; Simons, Laurent

doi:10.1007/s00025-011-0212-z

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Article (Scientific journals)

About non stationary multiresolution analysis and wavelets

Bastin, Françoise; Simons, Laurent

2013 • In Results in Mathematics, 63 (1), p. 485-500

Peer Reviewed verified by ORBi

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https://hdl.handle.net/2268/100540

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10.1007/s00025-011-0212-z

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Keywords :

Wavelets; (Non stationary) Multiresolution analysis; Scaling functions; Orthonormal bases

Abstract :

[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.

Disciplines :

Mathematics

Author, co-author :

Bastin, Françoise ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes

Simons, Laurent ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes

Language :

English

Title :

About non stationary multiresolution analysis and wavelets

Publication date :

2013

Journal title :

Results in Mathematics

ISSN :

1422-6383

eISSN :

1420-9012

Publisher :

Springer

Volume :

Issue :

Pages :

485-500

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 21 October 2011

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Bibliography

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