Speaker
            
    Wladyslaw Wachowski
        
            (Theory Department, Lebedev Physics Institute)
        
    Description
Termwise integration of the asymptotic DeWitt expansion yields kernel expansions for a wide class of operator functions. These expansions involve the well-known HaMiDeW coefficients (this property is precisely the off-diagonal generalization of "functoriality") multiplied by some functions representable by Mellin-Barnes (MB) integrals. Off-diagonality, together with the use of the properties of MB integrals and the technique of integral transformations, provide great flexibility and power for this new approach.
Author
        
            
                
                
                    
                        Wladyslaw Wachowski
                    
                
                
                        (Theory Department, Lebedev Physics Institute)
                    
            
        
    
        Co-authors
        
            
                
                
                    
                        A.E. Kalugin
                    
                
                
                        (Lebedev Physical Institute (LPI))
                    
            
        
            
                
                
                    
                        A.O. Barvinsky
                    
                
                
                        (Lebedev Physical Institute (LPI))