Polynomially growing pluriharmonic functions on Siegel domains
Monika Gilżyńska
Colloquium Mathematicae, Tome 107 (2007), p. 31-60 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

Let 𝓓 be a symmetric type two Siegel domain over the cone of positive definite Hermitian matrices and let N(Φ)S be a solvable Lie group acting simply transitively on 𝓓. We characterize polynomially growing pluriharmonic functions on 𝓓 by means of three N(Φ)S-invariant second order elliptic degenerate operators.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:283577 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-4,
     author = {Monika Gil\.zy\'nska},
     title = {Polynomially growing pluriharmonic functions on Siegel domains},
     journal = {Colloquium Mathematicae},
     volume = {107},
     year = {2007},
     pages = {31-60},
     zbl = {1120.32012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-4}
}

Monika Gilżyńska. Polynomially growing pluriharmonic functions on Siegel domains. Colloquium Mathematicae, Tome 107 (2007) pp. 31-60. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-1-4/