%0 Journal Article %A Yingchun Jiang and Yan Tang %D 2011 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 50, 2011 %T Nonstational Dual Wavelet Frames in Sobolev Spaces %U https://publications.waset.org/pdf/7649 %V 50 %X In view of the good properties of nonstationary wavelet frames and the better flexibility of wavelets in Sobolev spaces, the nonstationary dual wavelet frames in a pair of dual Sobolev spaces are studied in this paper. We mainly give the oblique extension principle and the mixed extension principle for nonstationary dual wavelet frames in a pair of dual Sobolev spaces Hs(Rd) and H-s(Rd). %P 201 - 205