The symmetric pluricomplex Green function

Convergence in Capacity of the Pluricomplex Green Function

In this paper we prove that if Ω is a bounded hyperconvex domain in C and if Ω 3 zj → ∂Ω, j → ∞, then the pluricomplex Green function gΩ(zj , ·) tends to 0 in capacity, as j →∞. A bounded open connected set Ω ⊂ Cn is called hyperconvex if there exists negative plurisubharmonic function ψ ∈ PSH(Ω) such that {z ∈ Ω : ψ(z) < c} ⊂⊂ Ω for all c < 0. Such ψ is called an exhaustion function for Ω. It ...

Computing the Pluricomplex Green Function with Two Poles

On the Regularity of the Pluricomplex Green Functions

A symmetric Green function for the non-collinear magnetic multilayer

Symmetry properties of the Green function in magnetic multilayers with noncollinear magnetization of the layers are investigated on the basis of the transfer matrix method. The Green function symmetric with respect to permutation of its arguments is constructed. It is shown how the boundary conditions can be imposed on this Green function.

Green Function on the q - Symmetric Space SU q ( 2 ) / U ( 1 )

Following the introduction of the invariant distance on the non-commutative C-algebra of the quantum group SUq(2), the Green function and the Kernel on the q-homogeneous space M = SU(2)q/U(1) are derived. A path integration is formulated. Green function for the free massive scalar field on the non-commutative Einstein space R ×M is presented.