10 citations · 32 across the 11 of their papers we have counts for
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Kernels of linear maps: A generalization of Duistermaat and Van der Kallens theorem
Arno van den Essen, Jan Schoone
The theorem of Duistermaat and Van der Kallen from 1998 proved the first case of the Mathieu conjecture. Using the theory of Mathieu-Zhao spaces, we can reformulate this theorem as…
On the Image Conjecture for Locally Finite Derivations and -Derivations
Arno van den Essen, Wenhua Zhao
Some cases of the LFED Conjecture, proposed by the second author [Z3], for certain integral domains are proved. In particular, the LFED Conjecture is completely established for the…
The Gaussian Moments Conjecture and the Jacobian Conjecture
Harm Derksen, Arno van den Essen, Wenhua Zhao
We first propose what we call the Gaussian Moments Conjecture. We then show that the Jacobian Conjecture follows from the Gaussian Moments Conjecture. We also give a counter-exampl…
Mathieu Subspaces of Univariate Polynomial Algebras
Arno van den Essen, Wenhua Zhao
We first give a characterization for Mathieu subspaces of univariate polynomial algebras over fields in terms of their radicals. We then deduce that for some classes of classical u…
Images of Locally Finite Derivations of Polynomial Algebras in Two Variables
Arno van den Essen, David Wright, Wenhua Zhao
In this paper we show that the image of any locally finite -derivation of the polynomial algebra in two variables over a field of characteristic zero is a Mathieu…
Some Results on the Vanishing Conjecture of Differential Operators with Constant Coefficients
Arno van den Essen, Roel Willems, Wenhua Zhao
In this paper we prove four cases of the vanishing conjecture of differential operators with constant coefficients and also a conjecture on the Laurent polynomials with no holomorp…
Stable Tameness of Two-Dimensional Polynomial Automorphisms Over a Regular Ring
Joost Berson, Arno van den Essen, David Wright
In this paper it is established that all two-dimensional polynomial automorphisms over a regular ring R are stably tame. In the case R is a Dedekind Q-algebra, some stronger result…