Gaofeng Huang

activity

20242026

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4 papers · 1 filter

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…