A~geometric test for completeness
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 29 (1976) no. 2, pp. 157-165
    
  
  
  
  
  
    
      
      
        
      
      
      
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              			Tests of a geometric character are found for completeness and incompleteness of systems of the form $\{[W(\pm z)]^{2n}\}$, $n=0,1,2,\dots$, in the space of functions analytic in a simply connected domain $D\subset\mathbf C$ symmetric with respect to the origin. Using these results, a number of concrete problems are solved.
Bibliography: 3 titles.
			
            
            
            
          
        
      @article{SM_1976_29_2_a1,
     author = {Yu. A. Kaz'min},
     title = {A~geometric test for completeness},
     journal = {Sbornik. Mathematics},
     pages = {157--165},
     publisher = {mathdoc},
     volume = {29},
     number = {2},
     year = {1976},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1976_29_2_a1/}
}
                      
                      
                    Yu. A. Kaz'min. A~geometric test for completeness. Sbornik. Mathematics, Tome 29 (1976) no. 2, pp. 157-165. http://geodesic.mathdoc.fr/item/SM_1976_29_2_a1/
