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

Tobias Heinrich

Annales Polonici Mathematici (2005)

  • Volume: 85, Issue: 3, page 283-290
  • ISSN: 0066-2216

Abstract

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For an analytic variety V in ℂⁿ containing the origin which satisfies the local Phragmén-Lindelöf condition P L l o c ( 0 ) it is shown that for each real simple curve γ and each d ≥ 1 the limit variety T γ , d V satisfies the strong Phragmén-Lindelöf condition (SPL).

How to cite

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Tobias Heinrich. "A new necessary condition for analytic varieties satisfying the local Phragmén-Lindelöf condition." Annales Polonici Mathematici 85.3 (2005): 283-290. <http://eudml.org/doc/281039>.

@article{TobiasHeinrich2005,
abstract = {For an analytic variety V in ℂⁿ containing the origin which satisfies the local Phragmén-Lindelöf condition $PL_\{loc\}(0)$ it is shown that for each real simple curve γ and each d ≥ 1 the limit variety $T_\{γ,d\}V$ satisfies the strong Phragmén-Lindelöf condition (SPL).},
author = {Tobias Heinrich},
journal = {Annales Polonici Mathematici},
keywords = {Phragmén-Lindelöf principle; extremal functions},
language = {eng},
number = {3},
pages = {283-290},
title = {A new necessary condition for analytic varieties satisfying the local Phragmén-Lindelöf condition},
url = {http://eudml.org/doc/281039},
volume = {85},
year = {2005},
}

TY - JOUR
AU - Tobias Heinrich
TI - A new necessary condition for analytic varieties satisfying the local Phragmén-Lindelöf condition
JO - Annales Polonici Mathematici
PY - 2005
VL - 85
IS - 3
SP - 283
EP - 290
AB - For an analytic variety V in ℂⁿ containing the origin which satisfies the local Phragmén-Lindelöf condition $PL_{loc}(0)$ it is shown that for each real simple curve γ and each d ≥ 1 the limit variety $T_{γ,d}V$ satisfies the strong Phragmén-Lindelöf condition (SPL).
LA - eng
KW - Phragmén-Lindelöf principle; extremal functions
UR - http://eudml.org/doc/281039
ER -

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