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


Author: Yun-Zhang Li
Journal: Proc. Amer. Math. Soc. 133 (2005), 3505-3513
MSC (2000): Primary 42C40
Published electronically: June 7, 2005
MathSciNet review: 2163585
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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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Additional Information

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: https://doi.org/10.1090/S0002-9939-05-07911-6
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
Published electronically: 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
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.