Reducibility of the wavelet representation associated to the Cantor set
Functional Analysis
2010-08-26 v1 Dynamical Systems
Operator Algebras
Representation Theory
Abstract
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.
Cite
@article{arxiv.1008.4349,
title = {Reducibility of the wavelet representation associated to the Cantor set},
author = {Dorin Ervin Dutkay and Sergei Silvestrov},
journal= {arXiv preprint arXiv:1008.4349},
year = {2010}
}