On Boundary Interpolation for Matrix Valued Schur Functions.
Bolotnikov, Vladimir.
On Boundary Interpolation for Matrix Valued Schur Functions. - 1st ed. - 1 online resource (122 pages) - Memoirs of the American Mathematical Society ; v.181 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- 1. Introduction -- 2. Preliminaries -- 3. Fundamental matrix inequalities -- 4. On H(θ) 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 Carathéodory-Julia theorem -- 10. On the solvability of a Stein equation -- 11. Positive definite solutions of the Stein equation -- 12. A Carathéodory-Fejér boundary problem -- 13. The full matrix Carathéodory-Fejér boundary problem -- 14. The lossless inverse scattering problem -- Bibliography.
9781470404604
Schur functions.
Interpolataion spaces.
Moment problems (Mathematics).
Lyapunov functions.
Electronic books.
QA331.7 -- .B65 2006eb
510 s;515/.73
On Boundary Interpolation for Matrix Valued Schur Functions. - 1st ed. - 1 online resource (122 pages) - Memoirs of the American Mathematical Society ; v.181 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- 1. Introduction -- 2. Preliminaries -- 3. Fundamental matrix inequalities -- 4. On H(θ) 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 Carathéodory-Julia theorem -- 10. On the solvability of a Stein equation -- 11. Positive definite solutions of the Stein equation -- 12. A Carathéodory-Fejér boundary problem -- 13. The full matrix Carathéodory-Fejér boundary problem -- 14. The lossless inverse scattering problem -- Bibliography.
9781470404604
Schur functions.
Interpolataion spaces.
Moment problems (Mathematics).
Lyapunov functions.
Electronic books.
QA331.7 -- .B65 2006eb
510 s;515/.73