From local cosine bases to global harmonics

Applied and Computational Harmonic Analysis

Volumn 6, Issue 3, 1999, Pages 382-399

  Bittner, Kai ^a   Chui, Charles K ^b,c  

^a INSTITUTE OF EPIDEMIOLOGY   (Germany)

^b TEXAS A AND M UNIVERSITY   (United States)

^c STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010043520     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1006/acha.1998.0256     Document Type: Editorial

References (10)

1. P. Auscher, Remarks on the local Fourier bases, in "Wavelets: Mathematics and Applications" (J. Benedetto and M. Frazier, Eds.), pp. 203-218, CRC Press, Boca Raton, FL, 1993.
2. P. Auscher, G. Weiss, and M. V. Wickerhauser, Local sine and cosine bases of Coifman and Meyer and the construction of smooth wavelets, in "Wavelets - A Tutorial in Theory and Applications" (C. K. Chui, Ed.), pp. 237-256, Academic Press, Boston, 1992.
3. C. K. Chui and X. Shi, Characterization and construction of biorthogonal cosine wavelets, J. Fourier Anal. Appl. 32 (1997), 559-575.
4. R. R. Coifman and Y. Meyer, Remarques sur l'analyse de Fourier à fenêtre, C. R. Acad. Sci. Paris 312 (1991), 259-261.
5. I. Daubechies, S. Jaffard, and J. L. Journé, A simple Wilson orthonormal basis with exponential decay, SIAM J. Math. Anal. 22 (1991), 554-572.
6. B. Jawerth and W. Sweldens, Biorthogonal smooth local trigonometric bases, J. Fourier Anal. Appl. 2 (1995), 109-133.
7. Malvar, H. S., Lapped transforms for efficient transform/subband coding, IEEE Trans. Acoust. Speech Signal Process. 38 (1990), 969-978.
8. G. Matviyenko, Optimized local trigonometric bases, Appl. Comput. Harmon. Anal. 3 (1996), 301-323.
9. D. J. Sullivan, J. J. Rehr, J. W. Wilkins, and K. G. Wilson, Phase space Warnier functions in electronic structure calculations, Research Report, Cornell University, Ithaca, NY, 1987.
10. M. V. Wickerhauser, Smooth localized orthonormal bases, C. R. Acad. Sci. Paris 316 (1993), 423-427.