Boundary Nevanlinna-Pick interpolation via reduction and augmentation

Details Boundary Nevanlinna-Pick interpolation via reduction and augmentation Boundary Nevanlinna-Pick interpolation via reduction and augmentation

2009-05-28

arxiv.org/abs/0905.4759v3

Mathematische Zeitschrift 2010

Mathematics

Complex Variables

We have repaired an inaccuracy in the proof of Proposition 6.7, (1) implies (5)

Scientific paper

10.1007/s00209-010-0696-3.

We give an elementary proof of Sarason's solvability criterion for the Nevanlinna-Pick problem with boundary interpolation nodes and boundary target values. We also give a concrete parametrization of all solutions of such a problem. The proofs are based on a reduction method due to Julia and Nevanlinna. Reduction of functions corresponds to Schur complementation of the corresponding Pick matrices.

Affiliated with

Also associated with

No associations

Rating

Boundary Nevanlinna-Pick interpolation via reduction and augmentation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Boundary Nevanlinna-Pick interpolation via reduction and augmentation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boundary Nevanlinna-Pick interpolation via reduction and augmentation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-526649