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SPECTRAL THEOREMS ASSOCIATED TO THE DUNKL OPERATORS

SPECTRAL THEOREMS ASSOCIATED TO THE DUNKL OPERATORS

In this paper, we characterize the support for the Dunkl transform on the generalized Lebesgue spaces via the Dunkl resolvent function. The behavior of the sequence of <TEX>$L^p_k$</TEX>-norms of iterated Dunkl potentials is studied depending on the support of their Dunkl transform. We systematically develop real Paley-Wiener theory for the …