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Scalar generalized nevanlinna functions : realizations with block operator matrices

Langer, Matthias and Luger, Annemarie (2006) Scalar generalized nevanlinna functions : realizations with block operator matrices. In: Operator theory in Krein spaces and nonlinear eigenvalue problems. Operator Theory: Advances and Applications . Birkhäuser, pp. 253-276. ISBN 9783764374525

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In this paper a concrete realization for a scalar generalized Nevanlinna function q ∈ N_k is given using the realizations of the factors in the basic factorization of q. Some cases are discussed in more detail and the representing operators are given as block operator matrices.