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

2009/05/06 by F. Gómez-Cubillo, Gómez-Cubillo, F., Z. Suchanecki +1
Computer Science · Mathematics · #42C40 #47A15 #47A56 #FOS: Mathematics #Functional Analysis (math.FA) #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.0905.0878

openalex publication_date 2009/05/06 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/01

Abstract

Spectral representations of the dilation and translation operators on L²(\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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