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On the range of the Opdam-Cherednik transform and Roe's theorem in the Cherednik setting
Journal article

On the range of the Opdam-Cherednik transform and Roe's theorem in the Cherednik setting

Hatem Mejjaoli
Journal of pseudo-differential operators and applications, Vol.7(1), pp.19-45
01/03/2016
DOI: https://doi.org/10.1007/s11868-015-0137-5

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we establish new real Paley-Wiener theorems for the Opdam-Cherednik transform on R-d. Next, we study the generalized tempered distributions with spectral gaps. Finally, the Roe's theorem is established in the context of the Cherednik operators.

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