13 citations · 31 across the 8 of their papers we have counts for
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math.CA2015★ 6 cited
Remarks on the inverse Cherednik-Opdam transform on the real line
Troels Roussau Johansen
We obtain Hausdorff-Young inequalities for the one-dimensional Cherednik--Opdam transform and its inverse, and we establish a real Paley-Wiener theorem for its inverse that general…
math.CA2015★ 1 cited
Weighted inequalities and uncertainty principles for the -generalized Fourier transform
Troels Roussau Johansen
We obtain several versions of the Hausdorff-Young and Hardy-Littlewood inequalities for the -generalized Fourier transform recently investigated at length by Ben Saï d, Koba…
math.CA2015★ 2 cited
Hardy--Littlewood inequalities for the Heckman--Opdam transform
Troels Roussau Johansen
We establish Hardy--Littlewood inequalities for the Heckman--Opdam transform associated to a general root datum that generalizes an analogous result for the sp…