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A Wiener-Tauberian and a Pompeiu type theorems on the Laguerre hypergroup |
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| Authors: | MM Nessibi B Selmi |
| Institution: | Faculté des Sciences de Bizerte, Département de Mathématiques, 7021 Zarzouna, Tunisia |
| Abstract: | A Wiener-Tauberian theorem is proven on the Laguerre hypergroup M.M. Nessibi, K. Trimèche, Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets, J. Math. Anal. Appl. 208 (1997) 337-363]. As consequence of this theorem we establish a Pompeiu type-theorem and we study some of its applications. |
| Keywords: | Wiener-Tauberian theorem Pompeiu problem Hypergroups Laguerre hypergroup Convolution Translation operators Fourier transform |
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