The Wavelet Galerkin Operator
classification
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math.SP
keywords
operatorwaveletalgebraanalysiscertaincommutationconnectiondescribe
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In connection to wavelet theory, we describe the peripheral spectrum of the transfer operator. The solution involves the analysis of certain representations of the algebra generated by two unitaries $U$ and $T$ that satisfy the commutation relation $UTU^{-1}=T^N$.
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