Fourier Series of Gegenbauer-Sobolev Polynomials

Óscar Ciaurri, Judit Mínguez
2018 Symmetry, Integrability and Geometry: Methods and Applications  
We study the partial sum operator for a Sobolev-type inner product related to the classical Gegenbauer polynomials. A complete characterization of the partial sum operator in an appropriate Sobolev space is given. Moreover, we analyze the convergence of the partial sum operators.
doi:10.3842/sigma.2018.024 fatcat:vrn6nxofnvbdzm6xubkd7zzkoi