Inner functions and local shape of orthonormal wavelets

Reference : Inner functions and local shape of orthonormal wavelets


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/24261

Title :	Inner functions and local shape of orthonormal wavelets
Language :	English
Author, co-author :	Gómez-Cubillo, Fernando [Dpto de Análisis Matemático, Universidad de Valladolid, Spain]
	Suchanecki, Zdzislaw [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC) >]
Publication date :	2011
Journal title :	Applied & Computational Harmonic Analysis
Publisher :	ELSEVIER
Volume :	30
Issue/season :	3
Pages :	273 - 287
Peer reviewed :	Yes (verified by ORBi^lu)
ISSN :	1063-5203
Keywords :	[en] Orthonormal wavelets ; Hardy spaces ; Inner functions
Abstract :	[en] Conditions characterizing all orthonormal wavelets of L2(R) are given in terms of suitable orthonormal bases (ONBs) related with the translation and dilation operators. A particular choice of the ONBs, the so-called Haar bases, leads to new methods for constructing orthonormal wavelets from certain families of Hardy functions. Inner functions and the corresponding backward shift invariant subspaces articulate the structure of these families. The new algorithms focus on the local shape of the wavelet.
Permalink :	http://hdl.handle.net/10993/24261
DOI :	10.1016/j.acha.2010.08.006

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