منابع مشابه
Weak Behaviour of Fourier-neumann Series
Let Jμ denote the Bessel function of order μ. The functions x−α−1Jα+2n+1(x), n = 0, 1, 2, . . . , form an orthogonal system in the space L2((0,∞), x2α+1dx) when α > −1. In this paper we prove that the Fourier series associated to this system is of restricted weak type for the endpoints of the interval of mean convergence, while it is not of weak type if α ≥ 0.
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1990
ISSN: 0021-9045
DOI: 10.1016/0021-9045(90)90005-b