Characterization of global Phragmén-Lindelöf conditions for algebraic varieties by limit varieties only
Rüdiger W. Braun; Reinhold Meise; B. A. Taylor
Annales Polonici Mathematici (2006)
- Volume: 88, Issue: 1, page 83-95
- ISSN: 0066-2216
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topRüdiger W. Braun, Reinhold Meise, and B. A. Taylor. "Characterization of global Phragmén-Lindelöf conditions for algebraic varieties by limit varieties only." Annales Polonici Mathematici 88.1 (2006): 83-95. <http://eudml.org/doc/281074>.
@article{RüdigerW2006,
abstract = {For algebraic surfaces, several global Phragmén-Lindelöf conditions are characterized in terms of conditions on their limit varieties. This shows that the hyperbolicity conditions that appeared in earlier geometric characterizations are redundant. The result is applied to the problem of existence of a continuous linear right inverse for constant coefficient partial differential operators in three variables in Beurling classes of ultradifferentiable functions.},
author = {Rüdiger W. Braun, Reinhold Meise, B. A. Taylor},
journal = {Annales Polonici Mathematici},
keywords = {continuous linear right inverse; hyperbolicity in conoids; ultradifferentiable function},
language = {eng},
number = {1},
pages = {83-95},
title = {Characterization of global Phragmén-Lindelöf conditions for algebraic varieties by limit varieties only},
url = {http://eudml.org/doc/281074},
volume = {88},
year = {2006},
}
TY - JOUR
AU - Rüdiger W. Braun
AU - Reinhold Meise
AU - B. A. Taylor
TI - Characterization of global Phragmén-Lindelöf conditions for algebraic varieties by limit varieties only
JO - Annales Polonici Mathematici
PY - 2006
VL - 88
IS - 1
SP - 83
EP - 95
AB - For algebraic surfaces, several global Phragmén-Lindelöf conditions are characterized in terms of conditions on their limit varieties. This shows that the hyperbolicity conditions that appeared in earlier geometric characterizations are redundant. The result is applied to the problem of existence of a continuous linear right inverse for constant coefficient partial differential operators in three variables in Beurling classes of ultradifferentiable functions.
LA - eng
KW - continuous linear right inverse; hyperbolicity in conoids; ultradifferentiable function
UR - http://eudml.org/doc/281074
ER -
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