Abstract
We introduce the notion of a Heckman-Opdam two-wavelet multiplier, and give a trace formula for a Heckman-Opdam two-wavelet multiplier as a bounded linear operator in the trace class from L-Ak(2) (R-d) into L-Ak(2) (R-d) in terms of the symbol and the two admissible wavelets. Next, we give results on the boundedness and compactness of two Heckman-Opdam wavelet multipliers on L-Ak(p) (R-d), 1 <= p <= infinity.