Abstract
We consider on ℝ the differential-difference operator which is referred to as the Dunkl operator with parameter γ+1/2 associated with the reflection ℤ2 on ℝ. We exhibit a Sonine-type integral representation for the Dunkl kernel e γ, eigenfunction of the Dunkl operator Λγ. This enables us to construct a new Sonine integral transform on ℝ tied to Λγ, which turns out together with its dual to be transmutation operators between two Dunkl operators of different parameters.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
