Elementary proofs of Paley-Wiener theorems for the Dunkl transform on the real line
Abstract
We give an elementary proof of the Paley-Wiener theorem for smooth functions for the Dunkl transforms on the real line, establish a similar theorem for L2-functions and prove identities in the spirit of Bang for Lp-functions. The proofs seem to be new also in the special case of the Fourier transform.
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