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Hermite interpolation in several variables using ideal-theoretic methods

Part of the Lecture Notes in Mathematics book series (LNM,volume 571)

Abstract

The ideal-theoretic concept of the Hermite interpolation was presented in [9]. Some of its results are summarized in this paper. By consideration of special ideals a n-dimensional generalization of Max Noether's theorem is obtained. This generalization enables us to answer questions arising in the constructive theory of functions as it is shown by three examples.

Keywords

  • Linear Subspace
  • Interpolation Problem
  • Constructive Theory
  • Hilbert Function
  • Hermite Interpolation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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© 1977 Springer-Verlag Berlin · Heidelberg

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Möller, H.M. (1977). Hermite interpolation in several variables using ideal-theoretic methods. In: Schempp, W., Zeller, K. (eds) Constructive Theory of Functions of Several Variables. Lecture Notes in Mathematics, vol 571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086571

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  • DOI: https://doi.org/10.1007/BFb0086571

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08069-5

  • Online ISBN: 978-3-540-37496-1

  • eBook Packages: Springer Book Archive