Title

Reducibility Of The Wavelet Representation Associated To The Cantor Set

Keywords

Cantor set; Quadrature mirror filter; Wavelet representation

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 representation is reducible. © 2011 American Mathematical Society.

Publication Date

10-1-2011

Publication Title

Proceedings of the American Mathematical Society

Volume

139

Issue

10

Number of Pages

3657-3664

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/S0002-9939-2011-10913-4

Socpus ID

79960803114 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/79960803114

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