A new necessary condition for analytic varieties satisfying the local Phragmén–Lindelöf condition
Volume 85 / 2005
Annales Polonici Mathematici 85 (2005), 283-290
MSC: 31C10, 32C25.
DOI: 10.4064/ap85-3-9
Abstract
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).
