Journal article
Multiresolution wavelet analysis of integer scale Bessel functions
Journal of mathematical physics, Vol.48(7), p.073516
2007
DOI: 10.1063/1.2750291
Abstract
We identify multiresolution subspaces giving rise via Hankel transforms to Bessel functions. They emerge as orthogonal systems derived from geometric Hilbert-space considerations, the same way the wavelet functions from a multiresolution scaling wavelet construction arise from a scale of Hilbert spaces. We study the theory of representations of the C * -algebra O ν + 1 arising from this multiresolution analysis. A connection with Markov chains and representations of O ν + 1 is found. Projection valued measures arising from the multiresolution analysis give rise to a Markov trace for the quantum groups S O q .
Details
- Title: Subtitle
- Multiresolution wavelet analysis of integer scale Bessel functions
- Creators
- S AlbeverioP. E.T JorgensenA. M Paolucci
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical physics, Vol.48(7), p.073516
- DOI
- 10.1063/1.2750291
- ISSN
- 0022-2488
- eISSN
- 1089-7658
- Language
- English
- Date published
- 2007
- Academic Unit
- Mathematics
- Record Identifier
- 9983985709902771
Metrics
24 Record Views