Ashurov, Ravshan (2010) Convergence of the Continuous Wavelet Transforms on the Entire Lebesgue Set of Lp Functions. In: 6th International Conference:2010-Dynamical Systems and Application, 10-14 Jul 2010, Antalya,Turkey.
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Abstract
Under the minimal conditions on wavelets convergence almost- everywhere of wavelet transform of Lp functions is well known. But this result is not completely satisfying for the reason, that we have no information about the exceptional set (of measure zero), where there is no convengence. In this paper under the slightly stronger conditions on wavelets we prove convergence of wavelet transforms everywhere on the entire Lebesgue set of Lp functions. On the other hand, practically all the wavelets, like Haar and 'French hat' wavelets,used frequently in applications,satisfy our conditions.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Keyword: | continuous wavelet transforms,convergence, Lebesgue set |
| Subject: | Wavelets (Mathematics) |
| Subject: | Convergence |
| Subject: | Measure theory |
| Faculty or Institute: | Institute of Advanced Technology |
| ID Code: | 17985 |
| Deposited By: | Erni Suraya Abdul Aziz |
| Deposited On: | 08 Sep 2011 16:56 |
| Last Modified: | 08 Sep 2011 16:56 |
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