Abstract
We invert the Weyl integral transform by means of a generalized continuous wavelet transform on the half line associated with the Bessel operatorL α, α>−1/2. Next, we use the connection between radial classical wavelets onR n and generalized wavelets associated with the Bessel operatorL( n−2)/2 to derive new inversion formulas for the Radon transform onR n,n≥2.
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Mourou, M.A., Trimèche, K. Inversion of the Weyl integral transform and the radon transform on Rn using generalized wavelets. Monatshefte für Mathematik 126, 73–83 (1998). https://doi.org/10.1007/BF01312456
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DOI: https://doi.org/10.1007/BF01312456