A note on the multivariate symmetric Hermite Interpolant
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908504887918592 |
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| author | Krick, Teresa Szanto, Agnes |
| author_facet | Krick, Teresa Szanto, Agnes |
| contents | In this note we explicit the notion of Hermite interpolant of a multivariate symmetric polynomial, generalizing the notion of Lagrange interpolant to the case when there are roots coalescence, an extension of the results on the symmetric Hermite interpolation basis by M.-F. Roy and A. Szpirglas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18507 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on the multivariate symmetric Hermite Interpolant Krick, Teresa Szanto, Agnes Classical Analysis and ODEs Commutative Algebra 13P15, 05E05 In this note we explicit the notion of Hermite interpolant of a multivariate symmetric polynomial, generalizing the notion of Lagrange interpolant to the case when there are roots coalescence, an extension of the results on the symmetric Hermite interpolation basis by M.-F. Roy and A. Szpirglas. |
| title | A note on the multivariate symmetric Hermite Interpolant |
| topic | Classical Analysis and ODEs Commutative Algebra 13P15, 05E05 |
| url | https://arxiv.org/abs/2501.18507 |