Orthonormal bases generated by Cuntz algebras
  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. 
Dorin Ervin Dutkay, Gabriel Picioroaga, Myung-Sin Song
math.FA