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Orthonormal polynomial wavelets on the interval
Author(s):
Dao-Qing
Dai;
Wei
Lin
Journal:
Proc. Amer. Math. Soc.
134
(2006),
1383-1390.
MSC (2000):
Primary 42C40, 33C45, 42C10, 65L15
Posted:
October 7, 2005
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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:
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
Posted:
October 7, 2005
Additional Notes:
This research was partially supported by NSFC, EYTP, NSF of Guangdong and ZAAC
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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