Korean J. Math. Vol. 22 No. 4 (2014) pp.711-723
DOI: https://doi.org/10.11568/kjm.2014.22.4.711

Absolute continuity of the representing measures of the hypergeometric translation operators attached to the root systems of type B2 and C2

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Khalifa Trimeche

Abstract

We prove in this paper the absolute continuity of the representing measures of the hypergeometric translation operators $\mathcal{T}_x$ and $\mathcal{T}_x^W$ associated respectively to the Cherednik operators and the Heckman-Opdam theory attached to the root system of type $B_2$ and $C_2$ which are studied in [9].



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References

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