Minimal Models for $$ \mathcal{N}_\kappa ^\infty $$ -functions View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2006

AUTHORS

Aad Dijksma , Annemarie Luger , Yuri Shondin

ABSTRACT

We present explicit realizations in terms of self-adjoint operators and linear relations for a non-zero scalar generalized Nevanlinna function N(z) and the function \( \hat N \) (z) = −1/N(z) under the assumption that \( \hat N \) (z) has exactly one generalized pole which is not of positive type namely at z = ∞. The key tool we use to obtain these models is reproducing kernel Pontryagin spaces. More... »

PAGES

97-134

References to SciGraph publications

  • 2003-04. Singular Perturbations of Self-Adjoint Operators in MATHEMATICAL PHYSICS, ANALYSIS AND GEOMETRY
  • 2000-03. A factorization result for generalized Nevanlinna functions of the classNk in INTEGRAL EQUATIONS AND OPERATOR THEORY
  • Book

    TITLE

    Operator Theory and Indefinite Inner Product Spaces

    ISBN

    3-7643-7515-9

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/3-7643-7516-7_5

    DOI

    http://dx.doi.org/10.1007/3-7643-7516-7_5

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1028386729


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