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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
Posted:
October 7, 2005
MathSciNet review:
2199184
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Additional Information
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
Posted:
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 after
28 years from publication.
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