Spectral synthesis in a~complex domain for a~differential operator with constant coefficients. III: Ample submodules
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 76 (1993) no. 1, pp. 165-188
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			In [1] and [2] the problem of spectral synthesis for a subspace $W$ invariant under a differential operator with constant coefficients was reduced to a check of two properties of its annihilator submodule $I=\operatorname{An}W$: stability and saturation. The present article describes a situation in which this check leads to a positive result, i.e., the annihilator submodule $I$ is ample.
			
            
            
            
          
        
      @article{SM_1993_76_1_a8,
     author = {I. F. Krasichkov-Ternovskii},
     title = {Spectral synthesis in a~complex domain for a~differential operator with constant coefficients. {III:} {Ample} submodules},
     journal = {Sbornik. Mathematics},
     pages = {165--188},
     publisher = {mathdoc},
     volume = {76},
     number = {1},
     year = {1993},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1993_76_1_a8/}
}
                      
                      
                    TY - JOUR AU - I. F. Krasichkov-Ternovskii TI - Spectral synthesis in a~complex domain for a~differential operator with constant coefficients. III: Ample submodules JO - Sbornik. Mathematics PY - 1993 SP - 165 EP - 188 VL - 76 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1993_76_1_a8/ LA - en ID - SM_1993_76_1_a8 ER -
%0 Journal Article %A I. F. Krasichkov-Ternovskii %T Spectral synthesis in a~complex domain for a~differential operator with constant coefficients. III: Ample submodules %J Sbornik. Mathematics %D 1993 %P 165-188 %V 76 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1993_76_1_a8/ %G en %F SM_1993_76_1_a8
I. F. Krasichkov-Ternovskii. Spectral synthesis in a~complex domain for a~differential operator with constant coefficients. III: Ample submodules. Sbornik. Mathematics, Tome 76 (1993) no. 1, pp. 165-188. http://geodesic.mathdoc.fr/item/SM_1993_76_1_a8/
