Geodesic
Characterization of global Phragmén–Lindelöf conditions for algebraic varieties by limit varieties only
Rüdiger W. Braun1 ; Reinhold Meise1 ; B. A. Taylor2
1Mathematisches Institut Heinrich-Heine-Universität Universitätsstr. 1 40225 Düsseldorf, Germany
2Department of Mathematics University of Michigan Ann Arbor, MI 48109, U.S.A.
Annales Polonici Mathematici, Tome 88 (2006) no. 1, pp. 83-95
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/ap88-1-6
Keywords: algebraic surfaces several global phragm lindel conditions characterized terms conditions their limit varieties shows hyperbolicity conditions appeared earlier geometric characterizations redundant result applied problem existence continuous linear right inverse constant coefficient partial differential operators three variables beurling classes ultradifferentiable functions

Rüdiger W. Braun  1   ; Reinhold Meise  1   ; B. A. Taylor  2

1 Mathematisches Institut Heinrich-Heine-Universität Universitätsstr. 1 40225 Düsseldorf, Germany
2 Department of Mathematics University of Michigan Ann Arbor, MI 48109, U.S.A. 
@article{10_4064_ap88_1_6,
     author = {R\"udiger W. Braun and Reinhold Meise and B. A. Taylor},
     title = {Characterization of global {Phragm\'en{\textendash}Lindel\"of} conditions
 for algebraic varieties by limit varieties only},
     journal = {Annales Polonici Mathematici},
     pages = {83--95},
     year = {2006},
     volume = {88},
     number = {1},
     doi = {10.4064/ap88-1-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap88-1-6/}
}
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
SP  - 83
EP  - 95
VL  - 88
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap88-1-6/
DO  - 10.4064/ap88-1-6
LA  - en
ID  - 10_4064_ap88_1_6
ER  - 
%0 Journal Article
%A Rüdiger W. Braun
%A Reinhold Meise
%A B. A. Taylor
%T Characterization of global Phragmén–Lindelöf conditions
 for algebraic varieties by limit varieties only
%J Annales Polonici Mathematici
%D 2006
%P 83-95
%V 88
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/ap88-1-6/
%R 10.4064/ap88-1-6
%G en
%F 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 88 (2006) no. 1, pp. 83-95. doi: 10.4064/ap88-1-6

Cité par Sources :