On the Expansion of Functions in Fourier Series with Respect to an Orthogonal System of Rational Functions
Received:March 23, 1982  
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Lou Yuanren Peking University 
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      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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