Fourier Series of Gegenbauer-Sobolev Polynomials

Published 5 Apr 2017 in math.FA | (1704.01597v2)

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.

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