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Inversion of Bessel Potentials with the Aid of Weighted Wavelet Transforms |
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| Authors: | Ilham A. Aliev Melih Eryigit |
| Abstract: | A special type of weighted wavelet transforms is introduced and the relevant Calderón reproducing formula for functions f ∈ Lp(ℝn ) is proved. By making use of these wavelet‐type transforms a new inversion formula of the classical Bessel potentials is obtained. |
| Keywords: | Bessel potentials fractional derivative weighted wavelet transform Calderó n‐type reproducing formula |