J. Fornaess

activity

19992005

\partial ˉ

on a complex space with arbitrary singularities

1 citations · 2 across the 5 of their papers we have counts for

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math.CV2004★ 1 cited

Harmonic Currents of Finite Energy and Laminations

John-Erik Fornaess, Nessim Sibony

We introduce, on a complex Kahler manifold (M,ω), a notion of energy for harmonic currents of bidegree (1,1). This allows us to define $\int T \land T \land ω^{k - 2},$ for positiv…

math.CV2004

Local $L^{2}$ results for $\partial ˉ$ : The isolated singularities case

John Erik Fornaess, Nils Ovrelid, Sophia Vassiliadou

Let $X$ be a pure n-dimensional complex analytic set in $C^{N}$ with an isolated singularity at 0. We study the Cauchy-Riemann operator on a deleted neighborhood of the sing…

math.CV2004★ 1 cited

Semiglobal results for $\partial ˉ$ on a complex space with arbitrary singularities

John Erik Fornaess, Nils Ovrelid, Sophia Vassiliadou

We obtain some $L^{2}$ results for the Cauchy-Riemann operator on forms that vanish to high order near the singular set of a complex space.

math.CV1999

Infinite dimensional Complex Dynamics

J. E. Fornaess

In this paper we investigate complex dynamics in infinite dimensions.

Harmonic Currents of Finite Energy and Laminations

Local L2 results for ∂ˉ: The isolated singularities case

Semiglobal results for ∂ˉ on a complex space with arbitrary singularities

Infinite dimensional Complex Dynamics

Local $L^{2}$ results for $\partial ˉ$ : The isolated singularities case

Semiglobal results for $\partial ˉ$ on a complex space with arbitrary singularities