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
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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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Online ISBN: 978-3-540-37496-1
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