Title

Orthonormal bases generated by Cuntz algebras

Authors

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

DOI Link

http://dx.doi.org/10.1016/j.jmaa.2013.07.012

Language

English

First Page

1128

Last Page

1139

WOS Identifier

WOS:000325589800043

ISSN

0022-247X

Recommended Citation

"Orthonormal bases generated by Cuntz algebras" (2014). Faculty Bibliography 2010s. 5289.
https://stars.library.ucf.edu/facultybib2010/5289