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.
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Communicated by Ingrid Daubechies
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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Ma, B., Sun, Q. Compactly supported refinable distributions in Triebel-Lizorkin spaces and besov spaces. The Journal of Fourier Analysis and Applications 5, 87–104 (1999). https://doi.org/10.1007/BF01274191
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DOI: https://doi.org/10.1007/BF01274191