Inversion of the Lions Transmutation Operators Using Generalized Wavelets
We consider in this work the Lions transmutation operators associated with the Lions differential operator Δ on ]o, +∞[. Using these operators we give relations between the generalized continuous wavelet transform and the classical continuous wavelet transform on [o, +∞[, and we deduce the formulas...
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| Published in | Applied and computational harmonic analysis Vol. 4; no. 1; pp. 97 - 112 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
01.01.1997
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| Online Access | Get full text |
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| Summary: | We consider in this work the Lions transmutation operators associated with the Lions differential operator Δ on ]o, +∞[. Using these operators we give relations between the generalized continuous wavelet transform and the classical continuous wavelet transform on [o, +∞[, and we deduce the formulas which give the inverse operators of the Lions transmutation operators. |
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| ISSN: | 1063-5203 1096-603X |
| DOI: | 10.1006/acha.1996.0206 |