Title

Orthonormal Bases Generated By Cuntz Algebras

Keywords

Cuntz algebras; Fourier basis; Fractal; Hadamard matrix; Quadrature mirror filter

Abstract

We show how some orthonormal bases can be generated by representations of the Cuntz algebra; these include Fourier bases on fractal measures, generalized Walsh bases on the unit interval and piecewise exponential bases on the middle third Cantor set. © 2013.

Publication Date

1-15-2014

Publication Title

Journal of Mathematical Analysis and Applications

Volume

409

Issue

2

Number of Pages

1128-1139

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.jmaa.2013.07.012

Socpus ID

84884350645 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84884350645

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