Inversion of the Lions transmutation operators using generalized wavelets

Applied and Computational Harmonic Analysis

Volumn 4, Issue 1, 1997, Pages 97-112

  Trimeche K ^a  

^a FACULTÉ DES SCIENCES DE TUNIS   (Tunisia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001891435     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1006/acha.1996.0206     Document Type: Article

References (7)

1. W. R. Bloom and Z. Xu, The Hardy-Littlewood maximal function for Chébli-Trimèche hypergroups, Contemp. Math. 183 (1995), 45-69.
2. A. Fitouhi and K. Trimèche, J. L. Lions transmutation operators and generalized continuous wavelet transforms, preprint.
3. T. H. Koornwinder, The continuous wavelet transform, in "Wavelets: An Elementary Treatment of Theory and Applications," Series in Approximations and Decompositions, Vol. 1 (T. H. Koornwinder, Ed.), pp. 27-48, World Scientific, Singapore, 1993.
4. J. L. Lions, "Equations differentielles opérationnelles et problèmes aux limites," Springer-Verlag, Berlin, 1961.
5. K. Trimèche, Transformation intégrale de Weyl et théorème de Paley-Wiener associés à un opérateur différentiel singulier sur (o, + ∞), J. Math. Pures Appl. 60, No. 9 (1981), 51-98.
6. K. Trimèche, "Transmutation Operators and Mean-Periodic Functions Associated with Differential Operators," Mathematical Reports, Vol. 4, Part I, pp. 1-282, Harwood Academic, Chur/London/Paris/New York/Melbourne, 1988.
7. Z. Xu, "Harmonic Analysis on Chébli-Trimèche Hypergroups," Ph.D. thesis, Murdoch University, Australia, 1994.