| 按有理函数系展开函数成Fourier级数 |
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| 引用本文： | 娄元仁. 按有理函数系展开函数成Fourier级数[J]. 数学研究及应用, 1985, 5(1): 29-35 |
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| 作者姓名： | 娄元仁 |
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| 作者单位： | 北京大学 |
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| 摘 要： | In this paper we give some orthogonal system of rational functions on the unit circumference; We obtained the Riemann Lemma and some tests of convergence of Fourier series for this orthogonal system with the poles {αk}0∞ satisfying some conditions, The conditions we obtained are weaker than those established in [2].
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| 收稿时间： | 1982-03-23 |
On the Expansion of Functions in Fourier Series with Respect to an Orthogonal System of Rational Functions |
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| Lou Yuanren. On the Expansion of Functions in Fourier Series with Respect to an Orthogonal System of Rational Functions[J]. Journal of Mathematical Research with Applications, 1985, 5(1): 29-35 |
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| Authors: | Lou Yuanren |
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| Affiliation: | Peking University |
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