Interpolating sequences and the Nevanlinna Pick problem.
Stray, Arne
Publicacions Matemàtiques, Tome 35 (1991), p. 507-516 / Harvested from Biblioteca Digital de Matemáticas

The extremal solutions to the Nevanlinna Pick problem are studied. If there is more than one solution, Nevanlinna showed that all extremal solutions are inner functions. With some extra information on the interpolation data we find that the extremal solutions are Blaschke products whose zeroes form a finite union of interpolating sequences.

Publié le : 1991-01-01
DMLE-ID : 4203
@article{urn:eudml:doc:41709,
     title = {Interpolating sequences and the Nevanlinna Pick problem.},
     journal = {Publicacions Matem\`atiques},
     volume = {35},
     year = {1991},
     pages = {507-516},
     mrnumber = {MR1201572},
     zbl = {0773.30038},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41709}
}
Stray, Arne. Interpolating sequences and the Nevanlinna Pick problem.. Publicacions Matemàtiques, Tome 35 (1991) pp. 507-516. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41709/