3 papers
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…
math.FA2018
Fourier series of Jacobi-Sobolev polynomial
Óscar Ciaurri, Judit Mínguez
Let be the orthonormal polynomials respect to the Sobolev-type inner product \begin{equation*} \langle f,g\rangle_{α,β,m}=\sum_{k=0}^m \int_{-1}^{1}…