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On the almost everywhere properties of the kernel regression estimate

✍ Scribed by Miroslaw Pawlak


Publisher
Springer Japan
Year
1991
Tongue
English
Weight
691 KB
Volume
43
Category
Article
ISSN
0020-3157

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On the Almost Everywhere Convergence of
✍ Terence Tao πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 124 KB

Let ψ be a rapidly decreasing one-dimensional wavelet. We show that the wavelet expansion of any L p function converges pointwise almost everywhere under the wavelet projection, hard sampling, and soft sampling summation methods, for 1 < p < ∞. In fact, the partial sums are uniformly dominated by th