On Frame Wavelets Associated with Frame Multiresolution Analysis

Applied and Computational Harmonic Analysis

Volumn 10, Issue 1, 2001, Pages 61-70

  Kim, Hong Oh ^a   Lim, Jae Kun ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001087509     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1006/acha.2000.0322     Document Type: Article

References (11)

1. Benedetto J. J., Li S. The theory of multiresolution analysis frames and applications to filter banks. Appl. Comput. Harmon. Anal. 5:1998;398-427.
2. Benedetto J., Treiber O. M. Wavelet frames: multiresolution analysis and extension principle. Debnath L. Wavelet Transforms and Time-Frequency Signal Analysis. 2000;Birkhaüser, Boston.
3. d). J. Funct. Anal. 119:1994;37-78.
4. P. G. Casazza, O. Christensen, and, N. Kalton, Frames of translates, preprint, 1999.
5. Daubechies I. Ten Lectures on Wavelets. CBMS-NSF Series in Applied Mathematics. 1992;SIAM, Philadelphia.
6. C. Di-Rong, On the splitting trick and wavelet frame packets, preprint, 1997.
7. Feauveau J. C. Nonorthogonal multiresolution analysis using wavelets. Chui C. K. Wavelets: A Tutorial in Theory and Applications. 1992;153-178 Academic Press, San Diego.
8. Heil C., Walnut D. Continuous and discrete wavelet transforms. SIAM Rev. 31:1989;628-666.
9. Kim H. O., Lim J. K. Frame multiresolution analysis. Comm. Korean Math. Soc. 15:2000;285-308.
10. 2( R ). Trans. Amer. Math. Soc. 315:1989;69-87.
11. d). Canad. J. Math. 47:1995;1051-1094.