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On convergence of wavelet packet expansions |
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| Authors: | Morten?Nielsen author-information" > author-information__contact u-icon-before" > mailto:nielsen@math.sc.edu" title=" nielsen@math.sc.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | University of South Carolina, USA |
| Abstract: | It is well known that the-Walsh-Fourier expansion of a function from the block space ([0, 1 ) ), 1 ＜q≤∞, converges pointwise a.e. We prove that the same result is true for the expansion of a function from in certain periodixed 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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