TY - BOOK AU - Bolotnikov,Vladimir AU - Dym,H. TI - On boundary interpolation for matrix valued Schur functions T2 - Memoirs of the American Mathematical Society, SN - 9781470404604 (online) AV - QA3QA331.7 .A57 no. 856 U1 - 510 s515/.73 22 PY - 2006/// CY - Providence, R.I. PB - American Mathematical Society KW - Schur functions KW - Interpolataion spaces KW - Moment problems (Mathematics) KW - Lyapunov functions N1 - "Volume 181, number 856 (end of volume)."; Includes bibliographical references; 1. Introduction; 2. Preliminaries; 3. Fundamental matrix inequalities; 4. On $\mathcal {H}(\Theta )$ spaces; 5. Parametrizations of all solutions; 6. The equality case; 7. Nontangential limits; 8. The Nevanlinna-Pick boundary problem; 9. A multiple analogue of the Carath�eodory-Julia theorem; 10. On the solvability of a Stein equation; 11. Positive definite solutions of the Stein equation; 12. A Carath�eodory-Fej�er boundary problem; 13. The full matrix Carath�eodory-Fej�er boundary problem; 14. The lossless inverse scattering problem; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0856 UR - http://dx.doi.org/10.1090/memo/0856 ER -