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Multiresolution wavelet analysis of Bessel functions of scale $ν+1$

P. E. T. Jorgensen·A. Paolucci
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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.

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BibTeXRIS

P. E. T. Jorgensen, A. Paolucci. 2000-08-25. Multiresolution wavelet analysis of Bessel functions of scale $ν+1$. https://arxiv.org/abs/math/0006103

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