Orthonormal bases generated by Cuntz algebras

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:409

Article

Dutkay, Dorin Ervin¹  Picioroaga, Gabriel²  Song, Myung-Sin³ 

[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

[2] Univ S Dakota, Dept Math Sci, Vermillion, SD 57069 USA

[3] So Illinois Univ, Dept Math & Stat, Edwardsville, IL 62026 USA

关键词: Cuntz algebras;    Fractal;    Fourier basis;    Hadamard matrix;    Quadrature mirror filter;   

DOI  :  10.1016/j.jmaa.2013.07.012

来源: Elsevier

【 摘 要 】

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. (C) 2013 Published by Elsevier Inc.

【 授权许可】

Free