Xianghong Gong

most citedExistence of divergent Birkhoff normal forms of Hamiltonian functions

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

collaborators

2 papers

math.CV2007★ 1 cited

Differential inequalities of continuous functions and removing singularities of Rado type for J-holomorphic maps

Xianghong Gong, Jean-Pierre Rosay

We consider a continuous function $f$ on a domain in $C^{n}$ satisfying the inequality that $∣ \partial ˉ f ∣ \leq ∣ f ∣$ off its zero set. The main conclusion is that the zero…

math.DS2003★ 1 cited

Existence of divergent Birkhoff normal forms of Hamiltonian functions

Xianghong Gong

We show that for $n \geq 2$ there exist real analytic Hamiltonian systems on $R^{2 n}$ with non-resonant eigenvalues at a singular point, of which the Birkhoff normal form…