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$p$ -adic Siegel halfspace

Lothar Gerritzen (1981/1982)

Groupe de travail d'analyse ultramétrique

$p$ -adic Teichmüller space and Siegel halfspace

Lothar Gerritzen (1981/1982)

Groupe de travail d'analyse ultramétrique

Parabolic exhaustions for strictly convex domains.

Giorgio Patrizio (1984)

Manuscripta mathematica

Parametric representations of semi-complete vector fields on the unit balls in $C^{n}$ and in Hilbert space

Dov Aharonov, Mark Elin, Simeon Reich, David Shoikhet (1999)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We present several characterizations and representations of semi-complete vector fields on the open unit balls in complex Euclidean and Hilbert spaces.

Peirce-Zerlegungen und Jordan-Strukturen zu homogenen Kegeln.

Josef Dorfmeister (1979)

Mathematische Zeitschrift

Pluriharmonic functions on symmetric tube domains with BMO boundary values

Ewa Damek, Jacek Dziubański, Andrzej Hulanicki, Jose L. Torrea (2002)

Colloquium Mathematicae

Let 𝓓 be a symmetric Siegel domain of tube type and S be a solvable Lie group acting simply transitively on 𝓓. Assume that L is a real S-invariant second order operator that satisfies Hörmander's condition and annihilates holomorphic functions. Let H be the Laplace-Beltrami operator for the product of upper half planes imbedded in 𝓓. We prove that if F is an L-Poisson integral of a BMO function and HF = 0 then F is pluriharmonic. Some other related results are also considered.

Pluripotential theory, semigroups and boundary behavior of infinitesimal generators in strongly convex domains

Filippo Bracci, Manuel Contreras, Santiago Díaz-Madrigal (2010)

Journal of the European Mathematical Society

Pointwise convergent nets of holomorphic automorphisms of the unit ball of Cartan factors.

J. M. Isidro, L. Stachó (1995)

Revista Matemática de la Universidad Complutense de Madrid

Poisson kernels and pluriharmonic $H^{2}$ -functions on homogeneous Siegel domains.

Trojan, Bartosz (2002)

Journal of Lie Theory

Polynomially growing pluriharmonic functions on Siegel domains

Monika Gilżyńska (2007)

Colloquium Mathematicae

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.

Currently displaying 1 – 17 of 17

Page 1

Displaying 1 – 17 of 17

$p$ -adic Siegel halfspace

$p$ -adic Teichmüller space and Siegel halfspace

Parabolic exhaustions for strictly convex domains.

Parametric representations of semi-complete vector fields on the unit balls in $C^{n}$ and in Hilbert space

Peirce-Zerlegungen und Jordan-Strukturen zu homogenen Kegeln.

Pluriharmonic functions on symmetric tube domains with BMO boundary values

Pluripotential theory, semigroups and boundary behavior of infinitesimal generators in strongly convex domains

Pointwise convergent nets of holomorphic automorphisms of the unit ball of Cartan factors.

Poisson kernels and pluriharmonic $H^{2}$ -functions on homogeneous Siegel domains.

Polynomially growing pluriharmonic functions on Siegel domains

Principal Orbit Types for Reductive Groups Acting on Stein Manifolds.

Projective bundles on a complex torus.

Pseudoconcave homogeneous manifolds

Pseudoconcave homogeneous surfaces.

Pseudoconcave Lie groups

Pseudokähler forms on complex Lie groups.

Pseudo-Kählerina homogeneous spaces admitting a reductive transitive group of automorphisms.

Currently displaying 1 – 17 of 17