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Fourier Series of Gegenbauer-Sobolev Polynomials (1704.01597v2)
Published 5 Apr 2017 in math.FA
Abstract: 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.