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

Mathematics – Functional Analysis

Scientific paper

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26 pages

Scientific paper

Spectral 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.

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