Polynomially growing pluriharmonic functions on Siegel domains

• Autorzy: Monika Gilżyńska
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 22E27: Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.)
• 43A80: Analysis on other specific Lie groups
• 43A65: Representations of groups, semigroups, etc.
• 32M10: Homogeneous complex manifolds
• 32M15: Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 109
• Numer: 1
• Strony: 31-60

Daty

wydano

2007

Twórcy

autor

Monika Gilżyńska

• Zaciszna 7/16, 55-200 Oława, Poland

Identyfikatory

DOI

10.4064/cm109-1-4