Geodesic
Perturbed Interpolation Problems
Publications de l'Institut Mathématique, _N_S_63 (1998) no. 77, p. 55 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

A sort of perturbations of interpolation problems is used, which enables to transfer the known results on interior interpolation problems of Pick--Nevanlinna type to boundary value interpolation problems. It is shown that the nonnegativity and the so called absence-of-residues property of the Pick kernel are necessary and sufficient condition for solvability of a matricial directional boundary value interpolation problem of Pick--Nevanlinna type.
Classification : 30E05 30E25
Keywords: matrical directional boundary value interpolation problem of Pick--Nevanlinna type, perturbation of interpolation problems 
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     author = {Du\v{s}an Georgijevi\'c},
     title = {Perturbed {Interpolation} {Problems}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {55 },
     publisher = {mathdoc},
     volume = {_N_S_63},
     number = {77},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1998_N_S_63_77_a7/}
}
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Dušan Georgijević. Perturbed Interpolation Problems. Publications de l'Institut Mathématique, _N_S_63 (1998) no. 77, p. 55 . http://geodesic.mathdoc.fr/item/PIM_1998_N_S_63_77_a7/