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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-1-6,
author = {R\"udiger W. Braun and Reinhold Meise and B. A. Taylor},
title = {Characterization of global Phragm\'en-Lindel\"of conditions for algebraic varieties by limit varieties only},
journal = {Annales Polonici Mathematici},
volume = {89},
year = {2006},
pages = {83-95},
zbl = {1098.32014},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-1-6}
}
Rüdiger W. Braun; Reinhold Meise; B. A. Taylor. Characterization of global Phragmén-Lindelöf conditions for algebraic varieties by limit varieties only. Annales Polonici Mathematici, Tome 89 (2006) pp. 83-95. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-1-6/