2012/12/17 by Dorin Ervin Dutkay, Dutkay, Dorin Ervin, Gabriel Picioroaga +3
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.1212.4134
openalex publication_date 2012/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.