Orthonormal bases generated by Cuntz algebras

    Authors

    D. E. Dutkay; G. Picioroaga;M. S. Song

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    J. Math. Anal. Appl.

    Keywords

    Cuntz algebras; Fractal; Fourier basis; Hadamard matrix; Quadrature; mirror filter; WAVELETS; FRACTALS; ISOMETRIES; OPERATORS; SYSTEMS; SPACE; Mathematics, Applied; Mathematics

    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. (C) 2013 Published by Elsevier Inc.

    Journal Title

    Journal of Mathematical Analysis and Applications

    Volume

    409

    Issue/Number

    2

    Publication Date

    1-1-2014

    Document Type

    Article

    Language

    English

    First Page

    1128

    Last Page

    1139

    WOS Identifier

    WOS:000325589800043

    ISSN

    0022-247X

    Share

    COinS