Abstract
It is well known that the-Walsh-Fourier expansion of a function from the block spaceBq([0,1]), 1<q≤∞, converges pointwise a. e. We prove that the same result is true for the expansion of a function fromBq in certain periodized smooth periodic non-stationary wavelet packets bases based on the Haar filters. We also consider wavelet packets based on the Shannon filters and show that the expansion of Lp-functions, 1<p<∞, converges in norm and pointwise almost everywhere.
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