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On matrix summation methods inLp

✍ Scribed by L. P. Falaleev


Publisher
SP MAIK Nauka/Interperiodica
Year
1993
Tongue
English
Weight
232 KB
Volume
54
Category
Article
ISSN
0001-4346

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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