2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59408We 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.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 $ν+1$"), some more introductory material is added, and some points both in the statements of results and their proof have been clarifiedFunctional AnalysisMathematical Physics42C15, 43A99, 44A20, 81R50 (Primary); 46N50,47D45, 47D25 (Secondary)text