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Fourier Series of Gegenbauer-Sobolev Polynomials
2018
Symmetry, Integrability and Geometry: Methods and Applications
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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