F. Kutzschebauch

collaborators

7 papers

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

Parametric equivariant Oka principle

Frank Kutzschebauch, Finnur Larusson, Gerald W. Schwarz

Let $G$ be a reductive complex Lie group and $K$ be a maximal compact subgroup of $G$ . Let $X$ be a reduced Stein $G$ -space and $Y$ be a $G$ -elliptic manifold. We prove the followi…

math.RA2025

On the injectivity of evaluation maps induced by polynomials on certain algebras

Frank Kutzschebauch, Tran Nam Son, Pham Duy Vin

We explore the injectivity of the evaluation map eva f,A from Am A to A, where A is an associative algebra over a field F, and f is a polynomial in m \ge 1 variables with coefficie…

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…