[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.
Disciplines :
Mathématiques
Identifiants :
UNILU:UL-ARTICLE-2011-120
Auteur, co-auteur :
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)
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Spectral Models for Orthonormal Wavelets and Multiresolution Analysis of L2(R)
Date de publication/diffusion :
2011
Titre du périodique :
Journal of Fourier Analysis and Applications
ISSN :
1069-5869
eISSN :
1531-5851
Maison d'édition :
Springer
Volume/Tome :
17
Fascicule/Saison :
2
Pagination :
191 - 225
Peer reviewed :
Peer reviewed
Commentaire :
Spectral Models for Orthonormal Wavelets and Multiresolution Analysis of L2(R) Gómez-Cubillo and Z. Suchanecki
