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Title: Asymptotic regularity of daubechies' scaling functions
Authors: Lau, K.A.-S.
Sun, Q. 
Keywords: Fourier transform
Scaling function
Sobolov exponent
Issue Date: 2000
Source: Lau, K.A.-S.,Sun, Q. (2000). Asymptotic regularity of daubechies' scaling functions. Proceedings of the American Mathematical Society 128 (4) : 1087-1095. ScholarBank@NUS Repository.
Abstract: Let φN, N ≥ 1, be Daubechies' scaling function with symbol (1+e-iξ/2) QN(ξ) and let Sp(φN),0 < p ≤ ∞, be the corresponding Lp Sobolev exponent. In this paper, we make a sharp estimation of Sp(φN), and we prove that there exists a constant C independent of N such that Matrix Equation Presented This answers a question of Cohen and Daubeschies (Rev. Mat. Iberoamericana, 12(1996), 527-591) positively. © 2000 American Mathematical Society.
Source Title: Proceedings of the American Mathematical Society
ISSN: 00029939
Appears in Collections:Staff Publications

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