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Matrix transformations of series of orthogonal polynomials
Published online by Cambridge University Press: 26 February 2010
Abstract
For a sequence of polynomials (Pn) orthonormal on the interval [−1, 1], we consider the sequence of transforms (gn) of the series given by . We establish necessary and sufficient conditions on the matrix (bnk) for the sequence (gn) to converge uniformly on compact subsets of the interior of an appropriate ellipse to a function holomorphic on that interior.
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- Copyright © University College London 1995