New Examples of Convolutions and Non-Commutative Central Limit Theorems
Tom 43 / 1998
                    
                    
                        Banach Center Publications 43 (1998), 95-103                    
                                        
                        DOI: 10.4064/-43-1-95-103                    
                                    
                                                Streszczenie
A family of transformations on the set of all probability measures on the real line is introduced, which makes it possible to define new examples of convolutions. The associated central limit theorems are studied, and examples of the limit measures, related to the classical, free and boolean convolutions, are shown.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            