Reducibility of the wavelet representation associated to the Cantor set

Details Reducibility of the wavelet representation associated to the Cantor set Reducibility of the wavelet representation associated to the Cantor set

2010-08-25

arxiv.org/abs/1008.4349v1

Mathematics

Functional Analysis

Scientific paper

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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