Multiresolution wavelet analysis of Bessel functions of scale $\nu +1$
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_{\nu+1} arising from this multiresolution analysis.
Keywords
Cite
@article{arxiv.math/0006103,
title = {Multiresolution wavelet analysis of Bessel functions of scale $\nu +1$},
author = {P. E. T. Jorgensen and A. Paolucci},
journal= {arXiv preprint arXiv:math/0006103},
year = {2007}
}
Comments
19 pages, REVTeX v. 3.1, submitted to J. Math. Phys., PACS 02.30.Nw, 02.30.Tb, 03.65.-w, 03.65.Bz, 03.65.Db. In the revision, the title is changed (from "Deformed multiresolution wavelet analysis of scale $\nu +1$"), some more introductory material is added, and some points both in the statements of results and their proof have been clarified