منابع مشابه
Mean and Almost Everywhere Convergence of Fourier-neumann Series
Let Jμ denote the Bessel function of order μ. The functions xJα+β+2n+1(x 1/2), n = 0, 1, 2, . . . , form an orthogonal system in L2((0,∞), xα+βdx) when α+ β > −1. In this paper we analyze the range of p, α and β for which the Fourier series with respect to this system converges in the Lp((0,∞), xαdx)-norm. Also, we describe the space in which the span of the system is dense and we show some of ...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1981
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-45-1-103-118