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    Article

    Discrete Harmonic Analysis Associated with Jacobi Expansions II: the Riesz Transform

    The present work is the continuation of our study (Arenas et al. J. Math. Anal. Appl. 490(123996), 21, 2020) on discrete harmonic analysis related to Jacobi expansions. The role of a Laplacian is played by the op...

    Alberto Arenas, Óscar Ciaurri, Edgar Labarga in Potential Analysis (2022)

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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)