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A class of functions containing polyharmonic functions in ℝⁿ

V. Anandam, M. Damlakhi (2003)

Annales Polonici Mathematici

Some properties of the functions of the form v ( x ) = i = 0 m | x | i h i ( x ) in ℝⁿ, n ≥ 2, where each h i is a harmonic function defined outside a compact set, are obtained using the harmonic measures.

Ahlfors’ currents in higher dimension

Henry de Thélin (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

We consider a nondegenerate holomorphic map f : V X where ( X , ω ) is a compact Hermitian manifold of dimension larger than or equal to k and V is an open connected complex manifold of dimension k . In this article we give criteria which permit to construct Ahlfors’ currents in X .

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