Geodesic
Free multiple interpolation
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 40, Tome 401 (2012), pp. 103-121

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Our aim in this article is to construct a bounded linear operator that solves the problem of multiple interpolation (interpolation with derivatives). It is proved that such an operator exists for nontangential and sparse interpolation sets if we consider interpolation by analytic functions satisfying the following condition: $|f^{(m)}(z_1)-f^{(m)}(z_2)|\leq\omega(|z_1-z_2|)$. 
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     author = {A. M. Kotochigov},
     title = {Free multiple interpolation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {103--121},
     publisher = {mathdoc},
     volume = {401},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_401_a5/}
}
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A. M. Kotochigov. Free multiple interpolation. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 40, Tome 401 (2012), pp. 103-121. http://geodesic.mathdoc.fr/item/ZNSL_2012_401_a5/