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Birkhoff interpolation; multivariate interpolation; Polya condition; grids
In this paper we characterize the regular UR Birkhoff interpolation schemes ($U=$ uniform, $R=$ rectangular sets of nodes) with rectangular sets of derivatives, and beyond.
[1] Ferguson D.: The question of uniqueness for G.D. Birkhoff interpolation problems. J. Approx. Theory 2 (1969), 1-28. MR 0247331 | Zbl 0182.39202
[2] Crainic M., Crainic N.: Birkhoff interpolation with rectangular sets of nodes. preprint, Utrecht Univ., 2003.
[3] Lorentz G.G., Jetter K., Riemenschneider S.D.: Birkhoff Interpolation. Encyclopedia of Mathematics and its Applications 19, Addison-Wesley Publ. Co., Reading, Mass., 1983. MR 0680938 | Zbl 1159.41001
[4] Lorentz R.A.: Multivariate Birkhoff Interpolation. Lecture Notes in Math. 1516, Springer, Berlin-Heidelberg, 1992. MR 1222648 | Zbl 0760.41002
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