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Derivations Generated by Polynomials, Their Images and Complements of the Images

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Automorphisms of Affine Spaces
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Abstract

I would like to express my deep gratitude to the participants and to the organizers of the Curaçao Conference on Polynomial Maps for creating a very pleasant and stimulating atmosphere, without which this paper could not be written, and, especially, to Arno van den Essen, without whose efforts the conference would not be possible.

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References

  1. H.G.J. Derksen, Spectra of Operators on the space of entire functions, Report 9406, University of Nijmegen, Toernooiveld, 6525 ED Nijmegen, The Netherlands, 1994.

    Google Scholar 

  2. T. Krasinski and S. Spodzieja, On linear differential operators related to the n-dimensional Jacobian Conjecture, Real Algebraic Geometry (M. Coste, L. Mahe, and M.F. Roy, eds.), Lecture Notes in Mathematics, vol. 1524, Springer-Verlag, 1992, pp. 308–315.

    Google Scholar 

  3. A.L. Shields, The spectrum of an operator on an F-space, Proc. Roy. Irish Acad. (1974), 291–292.

    Google Scholar 

  4. Y. Stein, On linear differential operators related to the Jacobian Conjecture, J. of Pure and Applied Algebra 57 (1989), 175–186.

    Article  MATH  Google Scholar 

  5. Y. Stein, On the density of image of differential operators generated by polynomials, J. D’Analyse Mathématique 52 (1989), 291–300.

    Article  MATH  Google Scholar 

  6. Y. Stein, The total reducibility order of a polynomial in two variables, Israel Journal of Math. 68 (1989), no. 1, 109–122.

    Article  MATH  Google Scholar 

  7. Y. Stein, Linear differential operators related to the Jacobian Conjecture have a closed image, J. D’Analyse Mathématique 54 (1990), 237–245.

    Article  MATH  Google Scholar 

  8. Y. Stein, On the spectrum of a continuous linear operator on the space of entire functions, International Math Research Notices 2 (1994), 75–77.

    Article  Google Scholar 

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© 1995 Springer Science+Business Media Dordrecht

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Stein, Y. (1995). Derivations Generated by Polynomials, Their Images and Complements of the Images. In: van den Essen, A. (eds) Automorphisms of Affine Spaces. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8555-2_8

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  • DOI: https://doi.org/10.1007/978-94-015-8555-2_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4566-9

  • Online ISBN: 978-94-015-8555-2

  • eBook Packages: Springer Book Archive

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