Mathematics – Functional Analysis
Scientific paper
2009-05-06
Mathematics
Functional Analysis
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.
Gómez-Cubillo F.
Suchanecki Z.
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