A class of $M$-dilation scaling functions with regularity growing proportionally to filter support width
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- by Xianliang Shi and Qiyu Sun PDF
- Proc. Amer. Math. Soc. 126 (1998), 3501-3506 Request permission
Abstract:
In this paper, a class of $M$-dilation scaling functions with regularity growing proportionally to filter support width is constructed. This answers a question proposed by Daubechies on p.338 of her book Ten Lectures on Wavelets (1992).References
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Additional Information
- Xianliang Shi
- Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368
- Email: xshi@math.tamu.edu
- Qiyu Sun
- Affiliation: Center for Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang 310027, People’s Republic of China
- Address at time of publication: Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Singapore
- Email: matsunqy@leonis.nus.edu.sg
- Received by editor(s): November 20, 1995
- Additional Notes: The first author is supported by the Texas Higher Education Coordinating Board under Grant Number 999903-109. The second author is partially supported by the National Natural Sciences Foundation of China # 69735020, the Tian Yuan Foundation, 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, National University of Singapore, under a grant from the National Science and Technology Board and the Ministry of Education, Singapore.
- Communicated by: J. Marshall Ash
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3501-3506
- MSC (1991): Primary 42C15
- DOI: https://doi.org/10.1090/S0002-9939-98-05070-9
- MathSciNet review: 1626478