A new necessary condition for analytic varieties satisfying the local Phragmén–Lindelöf condition
Tom 85 / 2005
                    
                    
                        Annales Polonici Mathematici 85 (2005), 283-290                    
                                        
                        MSC: 31C10, 32C25.                    
                                        
                        DOI: 10.4064/ap85-3-9                    
                                    
                                                Streszczenie
For an analytic variety $V$ in $\mathbb C^n$ containing the origin which satisfies the local Phragmén–Lindelöf condition ${\rm PL}_{\rm loc}(0)$ it is shown that for each real simple curve $\gamma$ and each $d \ge 1$ the limit variety $T_{\gamma,d}V$ satisfies the strong Phragmén–Lindelöf condition (SPL).