Reducibility of the wavelet representation associated to the Cantor set
Dutkay, Dorin Ervin · Silvestrov, Sergei
Functional Analysis
Dynamical Systems
Operator Algebras
Representation Theory
42C40, 28D05, 47A67, 28A80
Original · EN
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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