Multiresolution wavelet analysis of Bessel functions of scale ν+1
P. E. T. Jorgensen, A. Paolucci
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 Oν+1 arising from this multiresolution analysis.
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