A vanishing conjecture on differential operators with constant coefficients

zbMath1139.14303arXiv0704.1691MaRDI QIDQ2479936

Wenhua Zhao

Publication date: 3 April 2008

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1691

Mathematics Subject Classification ID

Jacobian problem (14R15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Differential operators in several variables (32W99)

Related Items (13)

Mathieu subspaces of univariate polynomial algebras ⋮ A deformation of commutative polynomial algebras in even numbers of variables ⋮ A few remarks on the generalized vanishing conjecture ⋮ Mathieu subspaces of associative algebras ⋮ An analogue of the Duistermaat-van der Kallen theorem for group algebras. ⋮ A generalization of Mathieu subspaces to modules of associative algebras. ⋮ Some remarks on Mathieu subspaces over associative algebras ⋮ Images of commuting differential operators of order one with constant leading coefficients ⋮ Mathieu–Zhao subspaces of vertex algebras ⋮ On the generalized vanishing conjecture ⋮ Mathieu-Zhao Spaces and the Jacobian Conjecture ⋮ New proofs for the Abhyankar-Gurjar inversion formula and the equivalence of the Jacobian conjecture and the vanishing conjecture ⋮ Some results on the vanishing conjecture of differential operators with constant coefficients

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