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arxiv: math/0212359 · v4 · submitted 2002-12-27 · 🧮 math.OA · math.FA

Closed subspaces which are attractors for representations of the Cuntz algebras

classification 🧮 math.OA math.FA
keywords representationsalgebrascuntzsubspacesanalyzeassociatedattentionattractors
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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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