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math.FA2007
The Schur transformation for Nevanlinna functions: operator representations, resolvent matrices, and orthogonal polynomials
D. Alpay, A. Dijksma, H. Langer
A Nevanlinna function is a function which is analytic in the open upper half plane and has a non-negative imaginary part there. In this paper we study a fractional linear transform…
math.FA2007★ 1 cited
Caratheodory-Fejer interpolation and related topics in locally convex spaces
Daniel Alpay, Olga Timoshenko, Dan Volok
We study Caratheodory-Herglotz functions whose values are continuous operators from a locally convex topological space which admits the factorization property into its conjugate du…