| ON THE PERIODIC ORTHONORMAL WAVELET SYSTEM |
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| 引用本文： | 戴道清,林伟. ON THE PERIODIC ORTHONORMAL WAVELET SYSTEM[J]. 数学物理学报(B辑英文版), 1998, 0(1) |
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| 作者姓名： | 戴道清 林伟 |
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| 作者单位： | Dept. of Math.，Zhongshan University，Guangzhou 510275，China |
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| 摘 要： | 1IntroductionAwaveletorthonormalbasisoftheusualLebesquesquareintegrablefunctionspaceLZissuchasystem{Vjj,k}i,k,z,with'Wj,k(.)=Zany(Zi'--k)beinggeneratedfromthetranslationsanddyadicdilationsofasillglefunction,rk.It11asbeenshownthatthesystem{ioj,~}j,kezcouldbeservedasSchauderbasisorunconditionalbasisformostfunctionspaces[2].ThepurposeofthispaperistopresentsomepropertiesoftheorthonormalwaveletsystemintheperiodiccauseandtoindicatesimilarityofthissystemtoothersystemssuchasthesysemsofHaarandFI'an…
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ON THE PERIODIC ORTHONORMAL WAVELET SYSTEM |
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| Dai Daoqing, Lin Wei,. ON THE PERIODIC ORTHONORMAL WAVELET SYSTEM[J]. Acta Mathematica Scientia, 1998, 0(1) |
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| Authors: | Dai Daoqing Lin Wei |
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| Abstract: | This paper concerns with the point-wise convergence of a wavelet series for LPfunctions and the characterization of Holder class by both the partial sums approximationand the best approximation. |
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| Keywords: | wavelets periodic function partial sums the best approximation |
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