Symmetries in projective multiresolution analyses
classification
🧮 math.FA
keywords
multiresolutionprojectiveanalysesconditionsexistencegivesufficientwavelets
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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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