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On partial polynomial interpolation - MaRDI portal

On partial polynomial interpolation (Q551299)

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On partial polynomial interpolation
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    On partial polynomial interpolation (English)
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    15 July 2011
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    The authors generalize the Alexander-Hirschowitz theorem to arbitrary zero-dimensional schemes contained in a general union of double points. They work with polynomials of degree \(\leq d\) in \(n\) variables. They study five exceptional cases if \(d>2\). If \(d=2\) the exceptional cases are studied.
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    polynomial interpolation
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    zero dimensional schemes
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    differential Horace method
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    Alexander-Hirschowitz theorem
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