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arxiv: 1502.01293 · v1 · pith:ZGE5MW45new · submitted 2015-02-04 · 🧮 math.CA

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

classification 🧮 math.CA
keywords inversetransformrealanalogousandersencherednik--opdamcherednik-opdamestablish
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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.

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