Remarks on the inverse Cherednik-Opdam transform on the real line

Abstract

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 generalizes an analogous result by N. B. Andersen for the Jacobi transform.

References in corpus (1)

• Opdam's hypergeometric functions: product formula and convolution structure in dimension 1