FoCM 2014 conference
Workshop A2 - Computational Harmonic Analysis, Image and Signal Processing
December 13, 18:30 ~ 18:55 - Room A11
Orthonormal Bases Generated by Cuntz Algebras
Myung-Sin Song
Southern Illinois University Edwardsville, USA - msong@siue.edu
We show how some orthonormal bases can be generated by representations of the Cuntz algebra such as Fourier bases on fractal measures, generalized Walsh bases on the unit interval and piecewise exponential bases on the middle third Cantor set.
Joint work with Dorin Dutkay (University of Central Florida, USA) and Gabriel Picioroaga (University of South Dakota, USA).