Title

REDUCIBILITY OF THE WAVELET REPRESENTATION ASSOCIATED TO THE CANTOR SET

Authors

Authors

D. E. Dutkay;S. Silvestrov

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Proc. Amer. Math. Soc.

Keywords

Wavelet representation; quadrature mirror filter; Cantor set; GENERALIZED MULTIRESOLUTION ANALYSES; OPERATORS; SYSTEMS; Mathematics, Applied; Mathematics

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.

Journal Title

Proceedings of the American Mathematical Society

Volume

139

Issue/Number

10

Publication Date

1-1-2011

Document Type

Article

DOI Link

http://dx.doi.org/10.1090/s0002-9939-2011-10913-4

Language

English

First Page

3657

Last Page

3664

WOS Identifier

WOS:000295432600025

ISSN

0002-9939

Recommended Citation

"REDUCIBILITY OF THE WAVELET REPRESENTATION ASSOCIATED TO THE CANTOR SET" (2011). Faculty Bibliography 2010s. 1272.
https://stars.library.ucf.edu/facultybib2010/1272