Title of article :
Orthonormal bases generated by Cuntz algebras
Author/Authors :
Dutkay، نويسنده , , Dorin Ervin and Picioroaga، نويسنده , , Gabriel and Song، نويسنده , , Myungsin، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2014
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.
Keywords :
Cuntz algebras , fractal , Fourier basis , Hadamard matrix , quadrature mirror filter
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
