Weak behaviour of Fourier-Jacobi series
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Universidad de Zaragoza
info
ISSN: 0021-9045
Year of publication: 1990
Volume: 61
Issue: 2
Pages: 222-238
Type: Article
More publications in: Journal of Approximation Theory
Abstract
Necessary conditions for the weak convergence of Fourier series in orthogonal polynomials are given. It is shown that the partial sum operator associated with the Jacobi series is of restricted weak type, but not of weak type, for the endpoints of the mean convergence interval. © 1990.