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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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).
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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