On the existence and constructions of orthonormal wavelets on L2(RS)

Proceedings of the American Mathematical Society

Volumn 125, Issue 10, 1997, Pages 2883-2889

  Di Rong, Chen ^a  

^a BEIHANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21944439219     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-03876-8     Document Type: Article

References (9)

1. C. de Boor, R. DeVore and A. Ron, On the construction of multivariate (pre)wave-lets, Constructive Approximation, 9(1993), 123-166. MR 94k:41048
2. C. W. Curtis and J. Reiner, Representation Theory of Finite Groups and Associative Algebras, John Wiley and Sons, New York, 1962. MR 20:2519
3. R. Q. Jia and C. A. Micchelli, Using the refinement equation for the construction of prewavelets, V: extensibility of trigonometric polynomials, Computing 48(1992), 62-71. MR 94a:42049
4. R. Q. Jia and Z. W. Shen, Multiresolution and wavelets, Proc. Edinburgh Math. Soc. 37(1994), 271-300. MR 95h:42035
5. Y. Meyer, Ondelettes et Opérateurs I: Ondelettes, Hermann Editeurs, 1990. MR 93i:42002
6. S. D. Riemenschneider and Z. W. Shen, Wavelets and prewavelets in low dimensions, J. Approx. Theory, 71(1992), 18-38. MR 94d:42046
7. S. L. Xiao, Construction of real-valued multivariate wavelets, Applied Math.-JCU, 10B(1995), 229-236. MR 96c:42076
8. D. X. Zhou, Construction of real-valued wavelets by symmetry, J. Approximation Theory, 81(1995), 323-331. MR 96m:42047
9. W. P. Ziemer, Weakly Differentiable Functions, Springer-Verlag, New York, Berlin, Heidelberg, 1989. MR 91e:46046