Orthonormal bases generated by Cuntz algebras
classification
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keywords
basescuntzgeneratedorthonormalalgebraalgebrascantorexponential
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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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