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A new necessary condition for analytic varieties satisfying the local Phragmén–Lindelöf condition

Volume 85 / 2005

Tobias Heinrich Annales Polonici Mathematici 85 (2005), 283-290 MSC: 31C10, 32C25. DOI: 10.4064/ap85-3-9

Abstract

For an analytic variety 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).

Authors

  • Tobias HeinrichMathematisches Institut
    Heinrich-Heine-Universität
    Universitätsstrasse 1
    40225 Düsseldorf, Germany
    e-mail

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