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arXiv · 1212.4134

Orthonormal bases generated by Cuntz algebras

Dorin Ervin Dutkay·Gabriel Picioroaga·Myung-Sin Song
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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.

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Dorin Ervin Dutkay, Gabriel Picioroaga, Myung-Sin Song. 2012-12-17. Orthonormal bases generated by Cuntz algebras. https://arxiv.org/abs/1212.4134

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