23 October 1996 Nonlinear operator related to refinable function vectors
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We study a certain nonlinear operator T from L2(R, CN) to itself under which every refinable function vector is a fixed point. The iterations Tnf of T on any f (epsilon) L2(R, CN) with the Riesz basis property are investigated; they turn out to be the 'cascade algorithm' iterates of f with weights depending on f only. The paper also gives conditions for convergence of Tnf to a limit in different topologies.
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Ying Huang, Bruce W. Suter, "Nonlinear operator related to refinable function vectors", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); doi: 10.1117/12.255290; https://doi.org/10.1117/12.255290

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