Stability Implies Convergence of Cascade Algorithms in Sobolev Space
نویسندگان
چکیده
منابع مشابه
Convergence of Cascade Algorithms
A nonstationary cascade algorithm for the nonstationary re
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The cascade algorithm with mask a and dilation M generates a sequence φ n , n = 1, 2,. .. , by the iterative process φ n (x) = α∈Z s a(α)φ n−1 (Mx − α) x ∈ R s , from a starting function φ 0 , where M is a dilation matrix. A complete characterization is given for the strong convergence of cascade algorithms in Sobolev spaces for the case in which M is isotropic. The results on the convergence o...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2002
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7782