Fourier Series of Gegenbauer-Sobolev Polynomials
classification
🧮 math.FA
keywords
partialoperatorpolynomialsanalyzeappropriatecharacterizationclassicalcomplete
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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.
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