Closed subspaces which are attractors for representations of the Cuntz algebras

Details Closed subspaces which are attractors for representations of the Cuntz algebras Closed subspaces which are attractors for representations of the Cuntz algebras

2002-12-27

arxiv.org/abs/math/0212359v4

Current Trends in Operator Theory and Its Applications (Blacksburg, VA, 2002) (J.A. Ball, J.W. Helton, M. Klaus, and L. Rodman

Mathematics

Operator Algebras

32 pages, LaTeX2e "birkart" document class; accepted for publication in the Proceedings of the 2002 IWOTA conference at Virgin

Scientific paper

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.

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