Author： Mourou Mohamed Ali
Publisher： Taylor & Francis Ltd
ISSN： 1065-2469
Source： Integral Transforms and Special Functions, Vol.20, Iss.12, 2009-12, pp. : 915-924
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Abstract
We consider on the differential-difference operator [image omitted] which is referred to as the Dunkl operator with parameter γ+1/2 associated with the reflection 2 on . We exhibit a Sonine-type integral representation for the Dunkl kernel eγ, eigenfunction of the Dunkl operator Λγ. This enables us to construct a new Sonine integral transform on tied to Λγ, which turns out together with its dual to be transmutation operators between two Dunkl operators of different parameters.
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