Closed subspaces which are attractors for representations of the Cuntz algebras
Operator Algebras
2007-05-23 v4 Functional Analysis
Abstract
We analyze the structure of co-invariant subspaces for representations of the Cuntz algebras O_N for N = 2,3,..., N < infinity, with special attention to the representations which are associated to orthonormal and tight-frame wavelets in L^2(R) corresponding to scale number N.
Cite
@article{arxiv.math/0212359,
title = {Closed subspaces which are attractors for representations of the Cuntz algebras},
author = {Palle E. T. Jorgensen},
journal= {arXiv preprint arXiv:math/0212359},
year = {2007}
}
Comments
32 pages, LaTeX2e "birkart" document class; accepted for publication in the Proceedings of the 2002 IWOTA conference at Virginia Tech in Blacksburg, VA. v4 revision: changes and corrections to Theorem 4.4 and Corollary 7.1. Also Theorem 4.4 is relabeled "Proposition 4.4", and clarifying remarks are added