The Higher Order Carathéodory—Julia Theorem and Related Boundary Interpolation Problems.

Authors :: Gohberg, I.
Alpay, D.
Arazy, J.
Atzmon, A.
Ball, J. A.
Ben-Artzi, A.
Bercovici, H.
Böttcher, A.
Clancey, K.
Coburn, L. A.
Curto, R. E.
Davidson, K. R.
Douglas, R. G.
Dijksma, A.
Dym, H.
Fuhrmann, P. A.
Gramsch, B.
Helton, J. A.
Kaashoek, M. A.
Kaper, H. G.
Source :: Recent Advances in Matrix & Operator Theory; 2008, p63-102, 40p
Publication Year :: 2008
Abstract: The higher order analogue of the classical Carathéodory-Julia theorem on boundary angular derivatives has been obtained in [7]. Here we study boundary interpolation problems for Schur class functions (analytic and bounded by one in the open unit disk) motivated by that result. [ABSTRACT FROM AUTHOR]

Full Text Access

Tools