Compactly supported refinable distributions in Triebel-Lizorkin spaces and besov spaces |
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| Authors: | Bolin Ma Qiyu Sun |
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| Affiliation: | (1) Center for Mathematical Sciences, Zhejiang University Hangzhou, 310027 Zhejiang, P. R. China;(2) Department of Applied Mathematics, Hunan University Changsha, 410082 Hunan, P. R. China;(3) Present address: Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, 119260 Singapore, Singapore |
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| Abstract: | The aim of this article is to characterize compactly supported refinable distributions in Triebel-Lizorkin spaces and Besov spaces by projection operators on certain wavelet space and by some operators on a finitely dimensional space.Research partially supported by the National Natural Sciences Foundation of China # 69735020, the Tian Yuan Projection of the National Natural Sciences Foundation of China, the Doctoral Bases Promotion Foundation of National Educational Commission of China #97033519 and the Zhejiang Provincial Sciences Foundation of China # 196083, and by the Wavelets Strategic Research Program funded by the National Science and Technology Board and the Ministry of Education, Singapore. |
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| Keywords: | 42C15 46E35 42B30 |
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