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 
@article{PIM_1998_N_S_63_77_a7,
     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/}
}
TY  - JOUR
AU  - Dušan Georgijević
TI  - Perturbed Interpolation Problems
JO  - Publications de l'Institut Mathématique
PY  - 1998
SP  - 55 
VL  - _N_S_63
IS  - 77
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PIM_1998_N_S_63_77_a7/
LA  - en
ID  - PIM_1998_N_S_63_77_a7
ER  - 
%0 Journal Article
%A Dušan Georgijević
%T Perturbed Interpolation Problems
%J Publications de l'Institut Mathématique
%D 1998
%P 55 
%V _N_S_63
%N 77
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PIM_1998_N_S_63_77_a7/
%G en
%F PIM_1998_N_S_63_77_a7
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/