Symmetries in projective multiresolution analyses

2007/09/26 by Kjetil Røysland, Røysland, Kjetil
Computer Science · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #math.FA

paper · pdf · doi:10.48550/arxiv.0709.4122

arxiv created 2007/09/26 · openalex publication_date 2007/09/26 · arxiv updated 2009/12/01 · openalex created_date 2019/09/26 · openalex updated_date 2026/07/31

Abstract

We give an equivariant version of Packer and Rieffel's theorem on sufficient conditions for the existence of orthonormal wavelets in projective multiresolution analyses. The scaling functions that generate a projective multiresolution analysis are supposed to be invariant with respect to some finite group action. We give sufficient conditions for the existence of wavelets with similar invariance.

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