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math.CA2019
Discrete Harmonic Analysis associated with Jacobi expansions III: the Littlewood-Paley-Stein -functions and the Laplace type multipliers
Alberto Arenas, Óscar Ciaurri, Edgar Labarga
The research about Harmonic Analysis associated with Jacobi expansions carried out in \cite{ACL-JacI} and \cite{ACL-JacII} is continued in this paper. Given the operator $\mathcal{…
math.CA2019
The convergence of discrete Fourier-Jacobi series
Alberto Arenas, Óscar Ciaurri, Edgar Labarga
The discrete counterpart of the problem related to the convergence of the Fourier-Jacobi series is studied. To this end, given a sequence, we construct the analogue of the partial…