Biorthogonal systems of rational functions and best approximation of the Cauchy kernel on the real axis
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 24 (1974) no. 3, pp. 409-433
    
  
  
  
  
  
    
      
      
        
      
      
      
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              			This paper is devoted to problems of the representation and best approximation of the Cauchy kernel on the whole real axis $-\infty$. The method proposed here for the solution of such problems is based on the attraction of systems of rational functions with fixed poles which are orthogonal or biorthogonal on the whole axis.
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      @article{SM_1974_24_3_a4,
     author = {M. M. Dzhrbashyan},
     title = {Biorthogonal systems of rational functions and best approximation of the {Cauchy} kernel on the real axis},
     journal = {Sbornik. Mathematics},
     pages = {409--433},
     publisher = {mathdoc},
     volume = {24},
     number = {3},
     year = {1974},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1974_24_3_a4/}
}
                      
                      
                    TY - JOUR AU - M. M. Dzhrbashyan TI - Biorthogonal systems of rational functions and best approximation of the Cauchy kernel on the real axis JO - Sbornik. Mathematics PY - 1974 SP - 409 EP - 433 VL - 24 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1974_24_3_a4/ LA - en ID - SM_1974_24_3_a4 ER -
M. M. Dzhrbashyan. Biorthogonal systems of rational functions and best approximation of the Cauchy kernel on the real axis. Sbornik. Mathematics, Tome 24 (1974) no. 3, pp. 409-433. http://geodesic.mathdoc.fr/item/SM_1974_24_3_a4/
