Abstract:
Conditions are given which can be imposed on the coefficients of an orthogonal series of Jacobi polynomials and which, when fulfilled, guarantee that the series is a Fourier–Jacobi series; and the question of its convergence in mean is solved.
The results are analogues of known theorems for cosine-series due to Kolmogorov, Szidon, Telyakovskii and the author.
Bibliography: 9 titles.
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