caa a22 4500 445835478 CHVBK 20180317145329.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00209-010-0696-3 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0696-3 Boundary Nevanlinna-Pick interpolation via reduction and augmentation [Elektronische Daten] [Jim Agler, N. Young] 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. Springer-Verlag, 2010 Agler Jim Department of Mathematics, University of California at San Diego, 92103, La Jolla, CA, USA aut Young N. School of Mathematics, Leeds University, LS2 9JT, Leeds, UK aut Mathematische Zeitschrift Springer-Verlag 268/3-4(2011-08-01), 791-817 0025-5874 268:3-4<791 2011 268 209 https://doi.org/10.1007/s00209-010-0696-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0696-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Agler Jim Department of Mathematics, University of California at San Diego, 92103, La Jolla, CA, USA aut NATIONALLICENCE 700 1- Young N. School of Mathematics, Leeds University, LS2 9JT, Leeds, UK aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 268/3-4(2011-08-01), 791-817 0025-5874 268:3-4<791 2011 268 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer