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Closed Subspaces which are Attractors for Representations of the Cuntz Algebras

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Book cover Current Trends in Operator Theory and its Applications

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 149))

Abstract

We analyze the structure of co-invariant subspaces for representations of the Cuntz algebras \({\mathcal{O}_N} \) for N = 2,3 ... , N < ∞ with special attention to the representations which are associated to orthonormal and tight-frame wavelets in L2 (ℝ) corresponding to scale number N..

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Jorgensen, P.E.T. (2004). Closed Subspaces which are Attractors for Representations of the Cuntz Algebras. In: Ball, J.A., Helton, J.W., Klaus, M., Rodman, L. (eds) Current Trends in Operator Theory and its Applications. Operator Theory: Advances and Applications, vol 149. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7881-4_11

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  • DOI: https://doi.org/10.1007/978-3-0348-7881-4_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9608-5

  • Online ISBN: 978-3-0348-7881-4

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