Geodesic
The Siciak–Zahariuta extremal function as the envelope of disc functionals
Finnur Lárusson1 ; Ragnar Sigurdsson2
1Department of Mathematics University of Western Ontario London, Ontario N6A 5B7, Canada
2Science Institute University of Iceland Dunhaga 3, IS-107 Reykjavík, Iceland
Annales Polonici Mathematici, Tome 86 (2005) no. 2, pp. 177-192
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We establish disc formulas for the Siciak–Zahariuta extremal function of an arbitrary open subset of complex affine space. This function is also known as the pluricomplex Green function with logarithmic growth or a logarithmic pole at infinity. We extend Lempert's formula for this function from the convex case to the connected case.
DOI : 10.4064/ap86-2-8
Keywords: establish disc formulas siciak zahariuta extremal function arbitrary subset complex affine space function known pluricomplex green function logarithmic growth logarithmic pole infinity extend lemperts formula function convex connected

Finnur Lárusson  1   ; Ragnar Sigurdsson  2

1 Department of Mathematics University of Western Ontario London, Ontario N6A 5B7, Canada
2 Science Institute University of Iceland Dunhaga 3, IS-107 Reykjavík, Iceland 
@article{10_4064_ap86_2_8,
     author = {Finnur L\'arusson and Ragnar Sigurdsson},
     title = {The {Siciak{\textendash}Zahariuta} extremal function
 as the envelope of disc functionals},
     journal = {Annales Polonici Mathematici},
     pages = {177--192},
     year = {2005},
     volume = {86},
     number = {2},
     doi = {10.4064/ap86-2-8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap86-2-8/}
}
TY  - JOUR
AU  - Finnur Lárusson
AU  - Ragnar Sigurdsson
TI  - The Siciak–Zahariuta extremal function
 as the envelope of disc functionals
JO  - Annales Polonici Mathematici
PY  - 2005
SP  - 177
EP  - 192
VL  - 86
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap86-2-8/
DO  - 10.4064/ap86-2-8
LA  - en
ID  - 10_4064_ap86_2_8
ER  - 
%0 Journal Article
%A Finnur Lárusson
%A Ragnar Sigurdsson
%T The Siciak–Zahariuta extremal function
 as the envelope of disc functionals
%J Annales Polonici Mathematici
%D 2005
%P 177-192
%V 86
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/ap86-2-8/
%R 10.4064/ap86-2-8
%G en
%F 10_4064_ap86_2_8
Finnur Lárusson; Ragnar Sigurdsson. The Siciak–Zahariuta extremal function
 as the envelope of disc functionals. Annales Polonici Mathematici, Tome 86 (2005) no. 2, pp. 177-192. doi: 10.4064/ap86-2-8

Cité par Sources :