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On the existence almost everywhere of the cross partial derivatives

โœ Scribed by R. J. Easton; D. H. Tucker; S. G. Wayment


Publisher
Springer-Verlag
Year
1967
Tongue
French
Weight
301 KB
Volume
102
Category
Article
ISSN
0025-5874

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Let ฯˆ 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 < โˆž. In fact, the partial sums are uniformly dominated by th