Conference proceeding
Wavelet filters and infinite-dimensional unitary groups
Wavelet Analysis and Applications, Vol.25, pp.35-65
International Conference on Wavelet Analysis and Its Applications (Zhongshan University, Guangzhou, China, 11/15/1999 - 11/20/1999)
01/28/2000
Abstract
Wavelet Analysis and Applications (Guangzhou, China, 1999)
(Donggao Deng, Daren Huang, Rong-Qing Jia, Wei Lin, and Jianzhong Wang, eds.,
catalogued under Deng alone), AMS/IP Studies in Advanced Mathematics, vol.
25, American Mathematical Society, Providence, International Press, 2002, pp.
35--65 In this paper, we study wavelet filters and their dependence on two numbers,
the scale N and the genus g. We show that the wavelet filters, in the
quadrature mirror case, have a harmonic analysis which is based on
representations of the C^*-algebra O_N. A main tool in our analysis is the
infinite-dimensional group of all maps T -> U(N) (where U(N) is the group of
all unitary N-by-N matrices), and we study the extension problem from low-pass
filter to multiresolution filter using this group.
Details
- Title: Subtitle
- Wavelet filters and infinite-dimensional unitary groups
- Creators
- Ola BratteliPalle E. T Jorgensen
- Resource Type
- Conference proceeding
- Publication Details
- Wavelet Analysis and Applications, Vol.25, pp.35-65
- Conference
- International Conference on Wavelet Analysis and Its Applications (Zhongshan University, Guangzhou, China, 11/15/1999 - 11/20/1999)
- Publisher
- American Mathematical Society / International Press
- Alternative title
- Proceedings of an International Conference on Wavelet Analysis and Its Applications
- Language
- English
- Date published
- 01/28/2000
- Academic Unit
- Mathematics
- Record Identifier
- 9984242345602771
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