Spectral Models for Orthonormal Wavelets and Multiresolution Analysis of $L^2({\mathbb R})$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229547Spectral representations of the dilation and translation operators on $L^2({\mathbb R})$ 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.26 pagesFunctional Analysis42C40, 47A15, 47A56Spectral Models for Orthonormal Wavelets and Multiresolution Analysis of $L^2({\mathbb R})$text