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On One class of Hermite projectors

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Abstract

We conjecture that every ideal projector on \({\mathbb {C}}\left[ x_1,\ldots ,x_d\right] \) whose kernel is generated by precisely d polynomials is Hermite (i.e., the limit of Lagrange interpolation projectors). We validate this conjecture in case the d generators of the kernel have no roots at infinity.

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Acknowledgments

I would like to thank the referees for many corrections and suggestions that significantly improved the paper.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of South Florida, Tampa, FL, 33620-5700, USA

    Boris Shekhtman

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  1. Boris Shekhtman
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Correspondence to Boris Shekhtman.

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Communicated by Carl de Boor.

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Shekhtman, B. On One class of Hermite projectors. Constr Approx 44, 297–311 (2016). https://doi.org/10.1007/s00365-015-9311-5

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  • DOI: https://doi.org/10.1007/s00365-015-9311-5

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