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Multiresolution wavelet analysis of Bessel functions of scale $
u +1$ | | P.E.T. Jorgensen
; A. Paolucci
; | | Date: |
14 Jun 2000 | | Subject: | Functional Analysis; Mathematical Physics MSC-class: 42C15, 43A99, 44A20, 81R50 (Primary); 46N50,47D45, 47D25 (Secondary) | math.FA math-ph math.MP | | Affiliation: | University of Iowa) and A. Paolucci (Università di Torino | | 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_{
u+1} arising from this multiresolution analysis. | | Source: | arXiv, math.FA/0006103 | | Services: | Forum | Review | PDF | Favorites | |
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