13 citations · 31 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
On a Class of Non-Integrable Multipliers for the Jacobi Transform
Troels Roussau Johansen
We show that a bounded function on not necessarily integrable at infinity may still yield -bounded convolution operators for the Jacobi transform if the nontangential…
-results for fractional integration and multipliers for the Jacobi transform
Troels Roussau Johansen
We use precise asymptotic expansions for Jacobi functions parameters , satisfying , , to generalizing classical Hörmander-type multiplier theo…
Almost Everywhere Convergence of the inverse Jacobi Transform and Endpoint Results for a Disc Multiplier
Troels Roussau Johansen
We introduce a maximal operator for the natural analogue of the disc multiplier in the framework of Jacobi analysis and determine the mapping properties of said maximal operator, i…