Reducibility of the wavelet representation associated to the Cantor set
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🧮 math.FA
math.DSmath.OAmath.RT
keywords
waveletassociatedcantorrepresentationabsoluteanswerconstantfilter
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We answer a question by Judith Packer about the irreducibility of the wavelet representation associated to the Cantor set. We prove that if the QMF filter does not have constant absolute value, then the wavelet representations is reducible.
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