Mathematics – Classical Analysis and ODEs
Scientific paper
2004-03-06
Mathematics
Classical Analysis and ODEs
63 pages, 10 figures/tables, LaTeX2e ("mrv9x6" document class), Contribution by Palle E. T. Jorgensen to the Tutorial Sessions
Scientific paper
Some connections between operator theory and wavelet analysis: Since the mid eighties, it has become clear that key tools in wavelet analysis rely crucially on operator theory. While isolated variations of wavelets, and wavelet constructions had previously been known, since Haar in 1910, it was the advent of multiresolutions, and subband filtering techniques which provided the tools for our ability to now easily create efficient algorithms, ready for a rich variety of applications to practical tasks. Part of the underpinning for this development in wavelet analysis is operator theory. This will be presented in the lectures, and we will also point to a number of developments in operator theory which in turn derive from wavelet problems, but which are of independent interest in mathematics. Some of the material will build on chapters in a new wavelet book, co-authored by the speaker and Ola Bratteli, see http://www.math.uiowa.edu/~jorgen/ .
No associations
LandOfFree
Unitary matrix functions, wavelet algorithms, and structural properties of wavelets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Unitary matrix functions, wavelet algorithms, and structural properties of wavelets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unitary matrix functions, wavelet algorithms, and structural properties of wavelets will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-235995