Abstract
In this paper, a product formula for the eigenfunction of the Jacobi-Dunkl differential-difference operator is derived. It leads to a uniformly bounded convolution of point measures and a signed hypergroup on IR.
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2000 Mathematics Subject Classification Primary—34K99, 44A15, 44A35, 43A15
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Salem, N.B., Salem, A.O.A. Convolution structure associated with the Jacobi-Dunkl operator on IR . Ramanujan J 12, 359–378 (2006). https://doi.org/10.1007/s11139-006-0149-0
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DOI: https://doi.org/10.1007/s11139-006-0149-0