Ontology type: schema:Chapter
2008
AUTHORSAad Dijksma , Annemarie Luger , Yuri Shondin
ABSTRACTThe class Ngk∞ consists of all generalized Nevanlinna functions N with κ negative squares for which the root space at ∞ of the self-adjoint relation in the minimal model (short for self-adjoint operator realization) of N contains a κ-dimensional non-positive subspace. In this paper we discuss two specific models for the function N ∈ Ngk∞: one associated with the irreducible representation of N and one associated with a regularized version of this representation which need not be irreducible. The state space in each of these models is a reproducing kernel Pontryagin space whose reproducing kernel is a matrix function constructed from the data in the representation. More... »
PAGES87-112
Spectral Theory in Inner Product Spaces and Applications
ISBN
978-3-7643-8910-9
978-3-7643-8911-6
http://scigraph.springernature.com/pub.10.1007/978-3-7643-8911-6_5
DOIhttp://dx.doi.org/10.1007/978-3-7643-8911-6_5
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