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
按有理函数系展开函数成Fourier级数
On the Expansion of Functions in Fourier Series with Respect to an Orthogonal System of Rational Functions
投稿时间:1982-03-23  
DOI:10.3770/j.issn:1000-341X.1985.01.006
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娄元仁 北京大学 
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英文摘要:
      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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