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Can I read Images of Commuting Differential Operators of Order One with Constant Leading Coefficients on EtoBox?
Images of Commuting Differential Operators of Order One with Constant Leading Coefficients by Wenhua Zhao is a Mathematics article available to read on EtoBox.
What is Images of Commuting Differential Operators of Order One with Constant Leading Coefficients about?
The image conjecture The vanishing conjecture The Jacobian conjecture The multidimensional Laplace transformations We first study some properties of images of commuting differential operators of polynomial algebras of order one with constant leading coefficients. We then propose what we call the image conjecture on these differential operators and show that the Jacobian conjecture [BCW], van den [E], de [Bo]) (hence also the Dixmier conjecture [D])) and the vanishing conjecture (Zhao (2007) [Z3]) of differential operators with constant coefficients are actually equivalent to certain special cases of the image conjecture. A connection of the image conjecture, and hence also the Jacobian conjecture, with multidimensional Laplace transformations of polynomials is also discussed.
Who reads Images of Commuting Differential Operators of Order One with Constant Leading Coefficients?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Wenhua Zhao
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)
- Published
- 2010
- Language
- EN
- Field
- Mathematics (Physical Sciences)