Polynomially growing pluriharmonic functions on Siegel domains

@article{MonikaGilżyńska2007,
abstract = {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.},
author = {Monika Gilżyńska},
journal = {Colloquium Mathematicae},
keywords = {symmetric Siegel domains; complex ball; Heisenberg group; pluriharmonic functions; second order invariant operators},
language = {eng},
number = {1},
pages = {31-60},
title = {Polynomially growing pluriharmonic functions on Siegel domains},
url = {http://eudml.org/doc/283577},
volume = {109},
year = {2007},
}

TY - JOUR
AU - Monika Gilżyńska
TI - Polynomially growing pluriharmonic functions on Siegel domains
JO - Colloquium Mathematicae
PY - 2007
VL - 109
IS - 1
SP - 31
EP - 60
AB - 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.
LA - eng
KW - symmetric Siegel domains; complex ball; Heisenberg group; pluriharmonic functions; second order invariant operators
UR - http://eudml.org/doc/283577
ER -