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    Article

    The spectrum of the right inverse of the Dunkl operator

    From the Dunkl analogue of Gegenbauer’s expansion of the plane wave, we derive an explicit closed formula for the spectrum of a right inverse of the Dunkl operator. This is done by stating the problem in such ...

    Luís Daniel Abreu, Óscar Ciaurri, Juan Luis Varona in Revista Matemática Complutense (2013)

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    Article

    A transference theorem for hermite expansions

    A transference theorem for multipliers of Hermite expansions is proved. The result allows to transfer weightedL 2(ℝ n ) estimates from lower to higher dimensions.

    Óscar Ciaurri in Rendiconti del Circolo Matematico di Palermo (2004)