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arXiv · 2509.14359

On the extension of a class of Hermite multivariate interpolation problems

Hakop Hakopian·Anush Khachatryan
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Abstract

We characterize the sets of solvability for Hermite multivariate interpolation problems when the sum of multiplicities is at most $2n + 2$, with $n$ the degree of the polynomial space. This result extends an earlier theorem (2000) by one of the authors concerning the case $2n+1$. The latter theorem, in turn, can be regarded as a natural extension of a classical Theorem of Severi (1921).

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Hakop Hakopian, Anush Khachatryan. 2025-10-10. On the extension of a class of Hermite multivariate interpolation problems. https://arxiv.org/abs/2509.14359

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