Orthonormal bases generated by Cuntz algebras
Functional Analysis
2012-12-18 v1
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.
Cite
@article{arxiv.1212.4134,
title = {Orthonormal bases generated by Cuntz algebras},
author = {Dorin Ervin Dutkay and Gabriel Picioroaga and Myung-Sin Song},
journal= {arXiv preprint arXiv:1212.4134},
year = {2012}
}