Weak behaviour of Fourier-Jacobi series
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Universidad de Zaragoza
info
ISSN: 0021-9045
Argitalpen urtea: 1990
Alea: 61
Zenbakia: 2
Orrialdeak: 222-238
Mota: Artikulua
Beste argitalpen batzuk: Journal of Approximation Theory
Laburpena
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.