On the density of image of differential operators generated by polynomials

DOI10.1007/BF02820481zbMath0682.13002OpenAlexW2083778649MaRDI QIDQ1823998

Yosef Stein

Publication date: 1989

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02820481

zbMATH Keywords

polynomial ringJacobian conjecture

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Algebraic properties of function spaces in general topology (54C40) Entire functions of several complex variables (32A15)

Related Items (7)

Derivations of Ore Extensions of the Polynomial Ring in One Variable ⋮ Partial properness and the Jacobian conjecture ⋮ Linear differential operators related to the Jacobian conjecture have a closed image ⋮ Images of locally finite derivations of polynomial algebras in two variables ⋮ Derivations having divergence zero on \(R[X,Y\).] ⋮ On the Jacobian Conjecture ⋮ The total reducibility order of a polynomial in two variables

Cites Work

• On linear differential operators related to the Jacobian conjecture
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Sur les algèbres de Weyl

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