Pointwise convergence of bounded cascade sequences
نویسندگان
چکیده
منابع مشابه
Pointwise Convergence of Bounded Cascade Sequences
The cascade algorithm plays an important role in computer graphics and wavelet analysis. For an initial function φ0, a cascade sequence (φn)n=0 is constructed by the iteration φn = Caφn−1, n = 1, 2, . . . , where Ca is defined by Cag = ∑ α∈Z a(α)g(2 · −α), g ∈ Lp(R). In this paper, under a condition that the sequence (φn)n=0 is bounded in L∞(R), we prove that the following three statements are ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2006
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-06-08467-x