Gaofeng Huang

activity

20242026

collaborators

6 papers

math.CV2026

Parametric decompositions into products of involutions

Gaofeng Huang, Frank Kutzschebauch, Tran Nam Son +1

It is a well-known result of Gustafson, Halmos and Radjavi, dating back to 1976, that any matrix $A$ in $S L_{n} (C)$ is a product of at most 4 involutions. We consider a natu…

math.CV2026

Holomorphic Approximation for Real Diffeomorphism Groups

Fusheng Deng, Gaofeng Huang, Frank Kutzschebauch +1

We show that every diffeomorphism of $R^{n}$ for $n \geq 2$ can be approximated by an automorphism of $C^{n}$ in the Whitney $C^{k}$ -topology for any positive integer $k…

math.CV2026

Non-Runge Fatou-Bieberbach Domains in Stein Manifolds with the Density Property

Gaofeng Huang, Frank Kutzschebauch, Feng Rong

Let $X$ be a Stein manifold with the density property. We present methods of constructing two kinds of non-Runge Fatou-Bieberbach domains in $X$ , which by definition are proper ope…

math.CV2026

Parametric Factorization of Matrices

Gaofeng Huang, Frank Kutzschebauch

In this survey paper we study parametric versions of writing a matrix in $S L_{n} (C)$ as a product of lower and upper unitriangular matrices in interchanging order as well a…

math.CV2025

Untriangular factorization of holomorpic symplectic matrices

Gaofeng Huang, Frank Kutzschebauch, Phan Quoc Bao Tran

We prove that every holomorphic symplectic matrix can be factorized as a product of holomorphic unitriangular matrices with respect to the symplectic form $ \left[\begin{array}{ccc…

math.CV2024

Holomorphic Approximation of Symplectic Diffeomorphisms for Calogero--Moser Spaces

Gaofeng Huang

The real Calogero--Moser space $C_{n}^{R}$ is a noncompact, totally real submanifold of the complex Calogero--Moser space $C_{n}$ . We prove that every symple…