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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Orthonormal polynomial wavelets on the interval


Authors: Dao-Qing Dai and Wei Lin
Journal: Proc. Amer. Math. Soc. 134 (2006), 1383-1390
MSC (2000): Primary 42C40, 33C45, 42C10, 65L15
Published electronically: October 7, 2005
MathSciNet review: 2199184
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Abstract: We use special functions and orthonormal wavelet bases on the real line to construct wavelet-like bases. With these wavelets we can construct polynomial bases on the interval; moreover, we can use them for the numerical resolution of degenerate elliptic operators.


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Additional Information

Dao-Qing Dai
Affiliation: Department of Mathematics, Sun Yat-Sen (Zhongshan) University, Guangzhou, 510275 People’s Republic of China
Email: stsddq@zsu.edu.cn

Wei Lin
Affiliation: Department of Mathematics, Sun Yat-Sen (Zhongshan) University, Guangzhou, 510275 People’s Republic of China
Email: stslw@zsu.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-05-08088-3
PII: S 0002-9939(05)08088-3
Keywords: Chebyshev polynomials, Riesz basis, wavelets, degenerate elliptic operator
Received by editor(s): December 8, 2004
Published electronically: October 7, 2005
Additional Notes: This research was partially supported by NSFC, EYTP, NSF of Guangdong and ZAAC
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.