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Almost-everywhere convergence of expansions in eigenfunctions of the Laplace operator on the sphere

✍ Scribed by A. I. Bastis


Publisher
SP MAIK Nauka/Interperiodica
Year
1983
Tongue
English
Weight
237 KB
Volume
33
Category
Article
ISSN
0001-4346

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On the Almost Everywhere Convergence of
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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