Proceedings of the American Mathematical Society

On the construction of a class of bidimensional nonseparable compactly supported wavelets

Author(s): Yun-Zhang Li
Journal: Proc. Amer. Math. Soc. 133 (2005), 3505-3513.
MSC (2000): Primary 42C40
Posted: June 7, 2005
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Abstract: Chui and Wang discussed the construction of one-dimensional compactly supported wavelets under a general framework, and constructed one-dimensional compactly supported spline wavelets. In this paper, under a mild condition, the construction of $M=(\begin{smallmatrix} 1&1 1&-1\end{smallmatrix})$ -wavelets is obtained.

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Yun-Zhang Li
Affiliation: Department of Applied Mathematics, Beijing University of Technology, Beijing, 100022, People's Republic of China
Email: yzlee@bjut.edu.cn

DOI: 10.1090/S0002-9939-05-07911-6
PII: S 0002-9939(05)07911-6
Keywords: Scaling function, wavelet, Riesz basis
Received by editor(s): October 9, 2001
Received by editor(s) in revised form: July 2, 2004 and July 6, 2004
Posted: June 7, 2005
Additional Notes: This work was partially supported by the Natural Science Foundation of China and the Natural Science Foundation of Beijing.
Communicated by: David R. Larson
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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