Spectral Models for Orthonormal Wavelets and Multiresolution Analysis of L2(R)

Reference : Spectral Models for Orthonormal Wavelets and Multiresolution Analysis of L2(R)


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/24264

Title :	Spectral Models for Orthonormal Wavelets and Multiresolution Analysis of L2(R)
Language :	English
Author, co-author :	Gómez-Cubillo, Fernando [University of 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 :	Journal of Fourier Analysis and Applications
Publisher :	Springer
Volume :	17
Issue/season :	2
Pages :	191 - 225
Peer reviewed :	Yes
ISSN :	1069-5869
e-ISSN :	1531-5851
Keywords :	[en] Orthonormal wavelets ; Multiresolution analysis ; Spectral representations ; Invariant subspaces
Abstract :	[en] Spectral representations of the dilation and translation operators on L2(R) are built through appropriate bases. Orthonormal wavelets and multiresolution analysis are then described in terms of rigid operator-valued functions defined on the functional spectral spaces. The approach is useful for computational purposes.
Permalink :	http://hdl.handle.net/10993/24264
DOI :	10.1007/s00041-010-9148-z
Commentary :	Spectral Models for Orthonormal Wavelets and Multiresolution Analysis of L2(R) Gómez-Cubillo and Z. Suchanecki

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