Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets
We prove a Calderón reproducing formula for the Dunkl continuous wavelet transform on R. We apply this result to derive new inversion formulas for the dual Dunkl-Sonine integral transform.
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2009-07-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2009.071 |