Deformed Fourier models with formal parameters
    
    
  
  
  
      
      
      
        
Studia Mathematica, Tome 239 (2017) no. 3, pp. 201-224
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
            
              The deformed Fourier matrices $H=F_M\otimes _QF_N$ with $Q\in \mathbb T^{MN}$ produce a matrix model $C(S_{MN}^+)\to M_{MN}(C(\mathbb T^{MN}))$. When $Q\in \mathbb T^{MN}$ is generic, the corresponding fiber can be investigated via algebraic techniques, and the main character law is asymptotically free Poisson. We present an alternative point of view on these questions, using formal parameters instead of generic parameters, and analytic tools.
            
            
            
          
        
      
                  
                    
                    
                    
                        
Keywords: 
deformed fourier matrices otimes mathbb produce matrix model mathbb mathbb generic corresponding fiber investigated via algebraic techniques main character law asymptotically poisson present alternative point view these questions using formal parameters instead generic parameters analytic tools
                    
                    
                    
                  
                
                
                
                
                
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              Teodor Banica 1
@article{10_4064_sm8580_1_2017,
     author = {Teodor Banica},
     title = {Deformed {Fourier} models with formal parameters},
     journal = {Studia Mathematica},
     pages = {201--224},
     publisher = {mathdoc},
     volume = {239},
     number = {3},
     year = {2017},
     doi = {10.4064/sm8580-1-2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm8580-1-2017/}
}
                      
                      
                    Teodor Banica. Deformed Fourier models with formal parameters. Studia Mathematica, Tome 239 (2017) no. 3, pp. 201-224. doi: 10.4064/sm8580-1-2017
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